Having demonstrated in the previous discourses that the understanding and practice of the sword is a science (from which art is produced), with experience contributing to the practicing part, it is not to be omitted the method and precepts by which it is governed. This includes the rational logic, which is common in all sciences, as well as the disputable dialectic, which looks at the rules and precepts with which experience is perfected, resulting in what the common people call Skill.
Philosophers, logicians, and dialecticians consider the definition and division as principal terms to all science. With the understanding of these, one can better engage in the predicables, predicaments, categories, etc., in which the understanding becomes accustomed to guiding towards demonstration, acquiring what is probable or evident, which is the aim of all science, art, and discipline. This is also recognized in the understanding and practice of the sword, where the terms: Definition, Division, etc., are necessarily integral parts of the argument and demonstration.
It is commonly touched upon in schools as a difficulty, which comes first in order: the Definition or the Division? They consider that if they refer to different things, the division is first in the order of nature, because by the division of the superiors the definition of the inferiors is investigated: e.g. by the division of the substance the definition of the animal is sought; and thus, the division is first, before the definition, because it is first to divide the highest genus than to define the species.
On the contrary, if the definition and the division refer to the same thing defined, the definition is first before the division in natural order, and of doctrine; e.g. if the animal to be defined is considered, the definition is first, then the division. The reason is clear: the definition is a certain composition of the thing defined, and the division, indeed, is the resolution: and according to the order of nature, it is first composed, then divided, and resolved.
It is commonly touched upon in schools as a difficulty, which comes first in order: the Definition or the Division? They consider that if they refer to different things, the division is first in the order of nature, because by the division of the superiors the definition of the inferiors is investigated: e.g. by the division of the substance the definition of the animal is sought; and thus, the division is first, before the definition, because it is first to divide the highest genus than to define the species.
Therefore, when talking about the precepts of defining and dividing, the principles of defining should be disputed first in terms of doctrine and dignity: in terms of doctrine, because the concept of division cannot be properly understood without the definition: and in terms of dignity, because the definition explains the essence of what is defined: just as in the science of the Sword, the essence of what is defined in it is not explained by the division, but by the definition in the first place, as will be demonstrated; and here for the sake of brevity and clarity, we present the naked conclusions without the disputable apparatus, and various opinions of authors, because, as it has been said, our aim is not to show off, but to explain what is necessary for our endeavor, trying to stick to what is necessary in what is written.
Aristotle teaches that there are not many quidditative definitions given of a defined subject, just as there are not many essences, because if there were, its supreme whole would not be definable. From this, Scotus concludes that there are not many definitions of an absolute (of which the definition indicates its being). From this, it is argued: the definition is one absolute, etc., therefore the definition of Definition must be one, and not many.
For this reason, the same Philosopher defined the definition of the Definition, saying: It is a sentence that explains the essence of the thing. In this substance, Philosophers and Rhetoricians agree in different phrases, from which we deduce the definition of the definition, being: It is a sentence that explains the essential nature of what is defined in the shortest possible number of words.
We say that it is a sentence because it is not a simple word; if you were to say, the Gladius is a sword: it is a sword, it would not be a definition, but a simple or identical proposition. In a sentence, there are more words; one perfect, which consists of one word, such as White man; another imperfect or compound, which does not consist of one word, but many, such as Man is an animal participant of reason; and so, although it is a sentence, it is not only a definition but a definition and the defined, because for the definition, the genre and difference are enough, which is explained by Animal participant of reason; the word man is not part of the definition, it is the defined.
Therefore, the definition should not be obscure or ambiguous, but lucid, clear, and proper, so Quintilian said: The definition is a sentence of the proposed thing, proper, lucid, and comprehended in brief words. From this, Aristotle named it Oros, with Quintilian explaining that it signifies Term, in allusion to the boundaries in the fields, which are also named Terms, because they include what they comprehend, distinguishing one from another.
Boethius considered fifteen types of definitions, not by essence, but by the manner of composition: the Modern Scholastics are content to divide the definition into two modes; one, definition of the thing, which is that which explains it, according to its own being, and essence; and this they call Essential, and they divide it into causes, and effects, etc. Another mode they name definition of the name, because it explains what the name signifies: and they consider it in five modes.
The third mode is when it is explained by analogy, or metaphor, like Adolescence, is the flower of age: The mind, in the soul, is what the eyes are in the body: Estocada, for that wound made with such a form of Sword, which has no cutting edges on the blade, like the Estoque, to which it alludes by analogy, or metaphor.
These principles moved the Philosopher to consider the division of the definition, in that which looks at the reason for the thing defined and in that which looks at the name, so he said: The definition of the thing defined is that which is the means of demonstration, either by the nature of the subject defined, or due to causes, and this is called essential. The definition of the name is that which is not a proper means of demonstration, like definitions from offices, elected, etc. of which Aristotle speaks broadly, and the Dialectics discuss.
There are three types of definitions different from each other, not by essence, but by the mode of the definitions; which are a means in the demonstration; the first, which is by genus and difference, is raised with the name of essential by antonomasia: the second, although it is also essential, is called ‘sought from causes’: the third is the description, because the defined is explained by passions, or properties, like ‘Man is a laughing animal’: which is only property, and not constitution: the same is the Equilateral Triangle, Vertical Cut, which are essential definitions of a mathematical figure and of a cutting wound; because all, and the like, manifest the intimate of what they define: all three are embraced by the Definition, which explains the essence of the thing defined by that which is intimate in it itself: and in the one in which these qualities concur, it accepts the term or qualification of essential.
For understanding this, it should be noted that there are some considerations that are accidental, meaning the subject defined can exist without them, and others are such that without them the subject cannot subsist. In those that are so accidental that without them the subject can exist, they do not provide essence to the definition, such as being seated or standing; sleeping or waking; these considerations, and the like, do not take away the subsistence of the subject, or the thing defined; for the man standing or seated; in stillness, or movement; sleeping or waking; subsists in all his being, and is defined without them. There are others that are not accidental, but essential, because without them the subject or thing defined does not subsist whole, such as wings in a bird, which is not physically complete without wings; but with all this it can be defined, and understood by Genus, and Difference proper to the subject.
There are other considerations, without which, neither the subject can exist, nor can it be defined or understood: these are properly called intimate, like rational animal, wound in its lowest species, which are the lowest considerations in the subject; because man cannot subsist or be known without them; nor the wound, but by its lowest species, in which its lowest and intimate difference is explained, like Stab of Quarter Circle, where the term Stab is genus, and Quarter Circle is the lowest and intimate difference: the same can be said in every defined thing, just as the Triangle does not subsist in its figure without three angles; and more essential, if it is declared by its lowest, intimate difference, Octagon, Isosceles, etc. because Genus is that which includes different species: and Difference is that which separates, and represents the intimate properties of the Species; and therefore we resort to the intimate, and lowest differences of the subject, that separate it from the other species, which are included in the genus, from which it is understood what the Philosophers commonly say, that the genus must be constituted from the matter, and the difference from the form, in which what properly belongs to the genus is known; and what properly belongs to the lowest, or intimate difference in the subject, to form the essential definition; e.g. Vertical Cut, Diagonal Cut, etc. which are defined, and known by their lowest, intimate difference, with respect to their lowest genus, which is why it is considered, that there are also very general genera, that include, and embrace in themselves other genera, as in the science of the Sword there are very general genera wounds, movements, which are capable of including in themselves other genera, not so general, as in wounds, slashings, stabbings, which are genera for other lower genera, such as Cuts, Backstrokes, etc. and so in movements. For example: in the straight line of a category, or predicament, descending from a high genus to a lowest species, it will be said wound: or is it cutting, or point. Cutting? Slashing: Slashing? Cut, or Backstroke, Backstroke Diagonal, or Vertical. And ascending, it will be said Diagonal Backstroke: then slashing. Slashing? then cutting wound.
The same method is considered in Philosophy, as if we were to say: Vegetable, only man, brute, and plant, etc. and these general and more general Genres in the definition require more considerations, going from a highest Genus to a lowest Species, or conversely, ascending from the lowest Species to the highest Genus of its predicament, as will be demonstrated in its place: noting here, that there are highest Genres, or principles, that do not admit essential definition by Genus, and Difference, because the simplest Genus or principle does not admit Difference in itself, like the point, which is the principle of quantity; but it is not quantity, because it does not have parts, and thus lacks difference: but not for that reason is it indefinable (since everything finite, be it highest Genus, or principle, is definable) but due to lack of Genus, and Difference From Causes, or by description: thus Aristotle compares the essential Definition to the number, because just as with the number, if something is added or removed, it changes the species; e.g. in the ternary, if one unit is added, it becomes quaternary; and if one is removed, it becomes binary; so also in the essential Definition, if something is added or removed, the definition is inverted, or passing from a less general genre to a more general one, or vice versa, as Logicians and Metaphysicians broadly dispute: the same is experienced in the science of the Sword, in which removed or added an intimate, or lowest Difference, inverts the Definition, as has been pointed out, and is evident.
The second mode of essential Definition is From Causes, or by one, or by more, or by all: for understanding this, it is assumed with the Philosopher, his Expositors, and the current of the Schools, that there are four causes, material, formal, efficient, and final, and we place them in such order as to nature, that first is the matter, then the form is introduced, and then the efficient and final cause are considered, always recognizing that natural agents, making, suffer: because only God is the first efficient cause, and so Cause of causes, Creator of prime matter; and the others that are considered, are physical causes, and subsequent: e.g. in man, it will be said, that he is an animal, whose physical matter in the first was the slime of the earth, and in propagation the prolific matter: in the formal it will be said, that he is a rational soul, which gives him being, and form, produced, by the efficient; and it will be said of man, that he is an animal, consisting of a human body, and a rational soul; and in this definition, the body is matter, and the soul is form, and by supreme efficient we recur to the essential principle, which is God, who in the slime of the earth, disposed, inspired the rational vital form, from which the essential end of man is to achieve the end for which he was created, and by all causes it can be said, that he is an animal, consisting of a human body, with a rational soul, created by God, the principal efficient cause, who created him for the most perfect end he should aspire to, which is to see and love Him in Beatitude.
In the rest of the sciences, causes are investigated according to the order of nature, and through it, an essential definition of what is defined is formed. Similarly, in understanding and practicing Swordsmanship, being a science, definitions are found by causes and they are also essential, as will be demonstrated in its place when dealing with the causes of this science.
The third form of essential definition, which can be demonstrable, is description; and although this is not as quidditative as the one resulting from genus and difference, or causes, it does not lack essence, as it explains it in a brief sentence, which describes it in such a way that it is a means for demonstration, and thus it is defined, saying: Description is a brief sentence that explains what the definable thing is through some or some of its properties, or by the collection of many accidents, and proper of the subject.
By some of its properties, such as when a man is defined as a laughing or admiring animal, or all together: because admiration is a property of man, and laughter is also, and the subject of admiration is laughable, and the one who is laughable is admirable, which are properties of man, and sufficient to define him by description; but it can also be done by the collection of many accidents, like a two-legged animal that lacks feathers, which are accidents, that each are properties of other animals; because birds are two-legged, and fish lack feathers, these accidents do not occur together as properly as in man, without having a place for the Ecce homo Platonis in the featherless rooster, as Achilles Bocchio tells. In the science of the Sword, many definitions are made by description, such as of the Sword itself, which is an instrument of two edges in proportional length and width, consisting of a sharp point, and such ornament at its beginning, that provides defense to the hand that guides it, and gives it aptitude to impede the opposing instrument, to which it has to oppose. And so, other described definitions can be formed.
Aristotle, recognizing the precepts of many to find the correct definition, gave the following: the first rule is that it should be distinct and clear, and this precept is violated in two ways; the first, if the thing to be defined is included in the definition, such as saying: The rational is an animal partaking of reason, Dialectics is the skill of arguing dialectically, where the subjects rational and Dialectics are what is being defined, which should not be included in the definition, as for this, the genus and the difference are sufficient, and essential, and on the same defined subject, like saying: A stab, or Vertical Slash, where the same mistake is committed.
The second error is if an obscure, ambiguous, or homonymous voice is included in the definition, such as saying: Generation is movement from non-being to being; such a definition is faulty, because Movement is an ambiguous word, and does not form a distinct definition; obscurity is committed when obscure words are used in the definition, such as saying: The earth is the nurturer of the living, the error is committed in the word Nurturer, which is metaphorical with respect to the earth. Obscurity is also committed in improper ways of speaking, such as: The Law is the image of those who are just, which is an improper phrase for the definition, from which unusual words are also excluded.
The second rule in the definition is that it should not be greater or smaller than what is being defined; this means that it should not apply to more than what it defines, because what is extraneous is faulty in the definition, which will be greater when it expands to more than necessary, with redundant terms: and smaller when it lacks some term necessary to the understanding of what is being defined.
The third rule is to match the subject, or thing being defined, with such property that the intimate of what is defined is understood; in such a way that what suits it, suits the definition; and what suits the definition, suits what is defined reciprocally, as is recognized in the accepted definition of man as an Animal participant of reason, which suits the definition, and the subject: all this the Philosophers explain briefly, saying, that defined, and definition are convertible.
The fourth rule is that in the definition there should be nothing superfluous, which will be recognized when, if any word or particle of the definition is removed, it remains sufficient, as in saying: Rational, admiring, and laughing animal, which is superfluous, because even if the words, Admiring, laughing, or the like are removed, the definition remains sufficient, saying: Rational animal.
The fifth rule is that what is defined should be recognized if it is capable of genus and difference, so that the essential results, because lacking true genus and difference, one will have to choose by causes, or by description, and this is achieved by ascending and descending along the straight line of the categories, as will be demonstrated in the Predicaments.
For the composition, the genus must be sought; and once found, it is divided by contrary differences, and from these the proper and immediate ones of the thing being defined are chosen, excluding the repugnant ones, proceeding in this way until a proper sentence can be formed, suitable to what is being defined; e.g. in man, the highest genus of his category is sought, which will be Substance, and this is called the highest genus, from which it is derived: therefore, the substance will be divided into its differences, which are, corporeal, and incorporeal; and because the incorporeal is repugnant to man, what suits him is chosen, which is corporeal, and it will be said: Man is a corporeal substance; and because the intimate difference of man is not achieved with only being a corporeal substance, one proceeds to the immediate difference of the corporeal part, which is, being animated, or inanimated; and as the inanimated is repugnant to man, what suits him is chosen, which is to be an animated corporeal substance: but as the animated can be sensible, or insensible; and the insensible is repugnant to man, what competes with him is chosen, which is, being sensible, and it will be said, that he is a sensible animated corporeal substance; and as the sensitives differ in participants of reason, and in those lacking reason, and it is repugnant to man to lack reason; it is convenient for him to be a participant of reason, for which reason the intimate difference that competes with him will be chosen, which is, being a participant of reason; and from this difference, and from the immediate proximate genus, which is animal, the essential definition by genus, and difference, found by the composition of the Predicament, or category of substance, will be formed, discoursing along the straight line of the Predicament, because in the parts of the definition such an order must be observed, that the genus is placed first, and then the differences, and among the general ones, the least general ones are chosen, until the most intimate to the defined is found. And by this method, everything that admits an essential definition by genus and difference is investigated, finding what properly competes with the definition, according to the definition of the Definition, as will be demonstrated in the science of the Sword in its predicament, or category.
When creating a descriptive definition, you examine the specific characteristics of the subject. You then describe the subject or the thing being defined in a brief scope using the most unique characteristic or a few equivalent ones. It is important that this description should not apply to any other subject or thing but only to what is being defined. That is why Porphyry says that the strictly proper predicate applies to every single one, and always. The examples mentioned earlier can be applied to this principle.
Focusing solely on the essentials of Division, we will try to limit ourselves to what is necessary for its understanding, avoiding an ostentation of debates and various opinions of which so much has been said that it forms volumes. Among the vast writings, we choose what is inexcusably relevant to our task. But before we delve into the intrinsic definition of Division, note that this term, taken broadly, is homonymous. When considered in particular, it is distinguished by enumeration and partition, because division originates from various types of wholes, which should be the primary consideration and discussion.
There are many types of Wholes, and among them, because they serve our purpose, we select two: one, what is called a Whole Integral; the other, the Whole Universal. The Whole Integral is one that consists of its integral parts, like a house, which consists of foundations, walls, and roofs, etc., and Skill, which includes complete perfection. The Whole Universal is what is predicated of its parts: like an animal, which is a universal whole with respect to man, lion, horse, etc. because a man is an animal, and a horse, and a lion.
Between these two types of wholes, there are three differences: the first is that the Whole Integral is not directly predicated of its parts, because it would be false to say, the wall is a house, or the foundation is a house. However, the Whole Universal is rightly predicated of its parts, as if one says, the man is an animal, or the horse is an animal, or the lion is an animal, which is a true conclusion. The second difference is that the Whole Integral is posterior to its parts, and the Whole Universal is anterior. The third difference is that the Whole Integral, even if it perishes, some of its parts can remain, while in the Whole Universal, the parts are destroyed when the Whole is destroyed.
Thus, in the science of the Sword, the whole integral can be called the whole Skill, which is composed of different integral parts; but because in the Integral, the definition can be made by the Whole, and not by the parts rightly; and in the Universal, it can have differences, which are referred to (all are applicable to the science of the Sword, which is commonly named Skill, which needs so much of distributive divisions from the most general, and common, to the less common, and more special) it will be recognized, that the kind of Division is the partition, or enumeration of degrees, or numbers, etc.
Division is in two ways, by name and by entity, like Thrust, Cut, Reverse, which make division by name, and by thing, with the addition, which makes the Division more individual, constituting it in the lowest species, like Vertical Cut, Diagonal Cut, Thrust of Quarter Circle, that by the addition of the lowest difference, they not only achieve the difference that individualizes the species, from which it results that the Division is subdivided into two terms, Name, and thing, which are explained thus.
Another Division is found in the amphibolic sentence of the name, when it is distinguished and divided in its true senses, as in the Delphic Oracle, asked: Quomodò vincendum? Responded: Hasta Romanos, which can signify contrary senses, understanding, either ‘The Romans to be defeated with a spear,’ or ‘With a spear, the Romans are victors.’ And in the science of the Sword, Cut, Avoidance will be amphibolic, which can signify such a sentence contrary precepts, as if they are constructed, dividing the significations, one could understand Cut as one, and Avoidance as another: and if they are made of one signification, they will understand one Cut against another Cut, placing them, disjoining the A. And these amphibolic, which are usually committed, either for lack of explanation, or for affecting brevity, should be avoided in the science of the Sword, in voice, and in writing: and we point it out, so as not to omit the complete explanation in the terms.
Division of the thing is, when it is distributed in its parts, which is done in three ways: the first, by essential division: the second, by accident: the third, by partition. Essential division is subdivided into division of the genus, and division of the species by the genus, like Animal, which admits division into man, and brute; by the species, man into Peter, John, etc., the brute, into lion, horse, etc. However, it should be observed that the division of the genus by differences is not completely different from that which is divided by species, because in truth the genus is not divided into differences, as in parts, but as in species by names of differences, like the difference of rational, the one of brute, etc. Hence the very division, which is made of the genus animal into man, and brute, is the one that constitutes the difference of species.
For our purpose, such divisions are recognized, caused by the distribution in parts, respecting the genus to the species, as in the proximate and remote genera of wounds, that a Knife cut looks at the genus of cutting wounds, which by the force of distribution, are divided into also generic species, and these into the lowest differences, which make the meanings more individual with the additions, Vertical, Diagonal, etc.
The above is proven with two reasons; the first is that in every good essential division, every divide must be understood, and repeated in the dividing parts, as in animals, some, who participate in reason; others, who lack it: then the divide Animal Genus must be understood, and repeated in the dividing parts; e.g., Some animals are partakers of reason, some lack reason. From where the animal participant of reason, is not only difference, but the very species of man; and also animal lacking reason, is not only difference, but the very species of the brute, because the division of the genus into species, by name of species, and another by name of differences; and one, and another in an equivalent essentiality. The same reason is valid in the science of the Sword, as has been demonstrated in the preceding example, which, being so clear, is not duplicated
The second reason is that the whole should be predicated of its dividing parts, therefore it is not predicated of differences, as Aristotle taught: hence, the division of an animal into those possessing reason, and those lacking it, is not a division of the general into differences, but it is in species by the name of differences. This is why Boethius was moved to say that the genus must be divided into species by the names of species, not by the names of differences.
For our purpose, note that the essential division (which in another way is usually called division of the genus) is called essential because the whole divided is of the essence of the dividing parts, as in the highest genus, ‘Wound’, in all its parts, it causes essential division into the lowest genera of wounds, to the most specific species of them.
The second essential division is by accident, considered in three ways: the first is from the subject to accidents, and in this all the divided, subject, and dividing parts are accidents; for example, of men, some are white, others are black, others are not entirely white, nor entirely black; and in this way, the subject and parts admit accidents, not separated from the essentiality, just as in accidental movements, some are violent, others are slow, others are between slow and violent, which can be called natural, and all are admitted and divided, without separating from their essentiality.
The second way is the division of accidents into subjects, in which all the divided is accident, and the dividing parts are subjects, for example, the habits of the mind, some are situated in the soul, others inherent in the body, as far as their accidental operations; so that a division of accidents into subjects can occur, in which the divided can be an accident, and the dividing parts subjects, which can be experienced by the expert in the accidents of combat.
The third way is the division of accidents into accidents, in which all the divided, and dividing parts are accidents: as in the actions, one is erroneous, another is correct, the former due to ignorance, the latter due to study, and practice, as in this science of the Sword, that acting in the conflict of combat by its proper and contrary actions, where the division is forcibly from accident to accidents, being all the divided, and dividing parts accidents; because the combat is reduced to operations, which are accidents, and these operations, some are done correctly, others with error; those that are done correctly, result from the understanding, and practice of the Sword; those that are mistaken, are caused by ignorance of this science, or the art; which is produced from it, or the experience with which it is perfected.
Another division is by partition, and this is considered of the whole integral into heterogeneous parts (that is, dissimilar) which by themselves do not admit the name of Whole, as in the house divided into foundations, walls, roof, etc., and the wall is not a house, nor the foundation is a house, etc., and in the structure of the body, the arm is not the head, etc. Thus, in the science of the Sword, which is all composed of dissimilar parts, as in types of movements of the body, arm, and Sword, dissimilar among themselves, by their divisions, and differences, regulated with such proportion that, together with the other parts that contribute to the actions, they perfect this science, which the common people call Skill.
To conclude what pertains to the Division, we take from much that has been written on such a wide subject, the following rules. That the Division be made into nearby parts, and not distant ones, because the animal is not divided in the first term into Pedro, Juan, etc., or into horse, or lion, etc., nor the wound into Diagonal Cut, or Vertical, etc., but first is the division of animal into human, and into brute, and then into its lowest differences, as wound in the first term, or genus, of cut, or point: in the second of cut, into Slash: in the third Slash, into Cut, Reverse, etc. and in the lowest difference, Vertical Cut, etc.
The second rule is that, just as the dividing parts, each one taken by itself, are smaller than the whole divided, and all of them collected together should compose the whole, so it must be with the integral division, like the whole genre of animal divided into man and beast; because man considered by itself, has fewer terms than animal and beast; but man and beast in collection fall under the term Animal, because the term Animal divided, is either man or beast, and any man or beast is an Animal: similarly, a Sword-stroke, is either a Cut or a Reverse; and Cut and Reverse together, fall under the generic term Sword-stroke, because any Cut or Reverse is a Sword-stroke.
The third rule is that the dividing parts should be opposed to each other, as the entity and the reason that oppose each other: e.g., Animal, one is a man, the other a beast, which are opposed to each other, because it is not possible for a subject to be both man and lion. And in terms of reason, as with actions, some are honest, others useful, others enjoyable, and are divided into the genre action; e.g., the practice of letters is honest, insofar as it is considered a virtue; and being a virtue, it can be useful, as it helps to achieve some useful end; and being honest and useful, it can shine and cause delight, as proven by the Philosopher.In the practice of the Sword, in terms of reason and entity, the dividing parts are opposed to each other. In terms of reason, because the understanding theoretically divides actions to investigate in what they differ and in what they oppose, achieving through such division its knowledge by intimate and ultimate differences: and in terms of reality, which is reduced to effective operation, it regulates the dividing parts, like the Thrust, the Cut, the Reverse, which are dividing parts of the genre Wound, and descending to their intimate and ultimate differences, qualifies in what the Cut is opposed to the Reverse, in what the Vertical is to the Diagonal, etc.
The fourth rule is inferred from Cicero, who says that it is not appropriate for a part placed under a Genus to agree with another part, which is placed under the Genus divided; this is, it is not appropriate for the dividing part, which is contained under a Genus, to agree with another dividing part: because it will not be a good division of animals, one Human, another Beast, another Lion; because Lion is already contained under the dividing part Beast. Thus, Plato taught that the division should consist of two parts, because if it consists of many parts they have to be reduced to two, by negation, or privation, as in this division of animals, some terrestrial, others aquatic, others flying, which are reduced to two parts, by negation, distinguishing, either it is terrestrial, or it is not terrestrial; either it is aquatic, or it is not aquatic; either it is flying, or it is not flying; and Boethius follows this sentence, arguing thus: The Division must be made by opposite parts: are they opposite? then two: then the Division must consist of two opposite parts. But Aristotle seems to refute this opinion, and rightly so, forming a broad discourse (which the curious can see), that if the Division had to consist of only two parts, it would result in the multiplication of the Divisions; e.g., virtue is divided into justice, strength, prudence, etc., and by Boethius’s doctrine, it would necessitate multiplying the divisions, saying: Justice? its opposite is injustice, and so on in the others, which would cause inconvenient laboriousness in the division.
It is not obligatory, nor necessary to reduce the Division to only two opposite parts, as Boethius implies; for his opinion can be understood and saved with the term Repugnance, even if the species are many and different from each other, as in beasts, lion, horse, bull, etc. These species, due to their repugnance, are divided without the need for negation, as can be inferred from the doctrine of Aristotle, which we follow in the science of the Sword, where the Genus Injury is divided into various differences, which are divided by the term Repugnance, such as the Cut and the Reverse in their lowest species. The same in movements, in postures, etc. which can be divided by their repugnance without inconvenience, without resorting to negation, or to two singular opposites; with which we have sought to encompass what pertains to the Division, its understanding, and precepts in relation to the science of the Sword, providing for greater clarity, not only philosophical examples, but ones specific to this very science, judging that in this way, more demonstrably with both, the discourse will comprehend, that in this exercise the precepts of science have a place and are necessary: and with such foundations we will come to the demonstrations, and topical and mathematical arguments, which will produce what is probable, and the evident from the understanding, and exercise of the Sword, which is commonly called Skill, and to the one who achieves it, Skilled; and accommodating ourselves to the most common, we will use, in many parts the same terms, Skill, and Skilled, and we will pass with such attention to the explanation of the words, that name Universals, or Predicables.