Universa Philosophia

Pedro Hurtado de Mendoza

Universa Philosophia

Pedro Hurtado de Mendoza (1578–1641)

First published 1624

Hurtado de Mendoza, Universa Philosophia (Lyon 1624): the Summulae and the Logica through Disputatio VII, with an original English translation. The rest of the work follows in later append batches.

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Summulae

Instruction for the Beginner on the Method of Argument

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Disputatio I. On the Terms of Propositions, and Their Union.

Aristoteles primo Physicorum

ARISTOTLE, in book 1 of the Physics, ch. 1, says that the discussion of composite things must begin from their parts and elements. But since every argumentation (which is the matter of the Summulae) consists of parts, these are the first things that come up for discussion. Argumentation, however, consists of propositions, a proposition of subject, predicate, and the union of both; but subject and predicate have customarily been called terms.

Sectio I. What Are Subject, Predicate, and Union?

§ 1

In every proposition, whether spoken or written, three words or expressions are found, to which three acts in the intellect correspond. In this proposition, Peter is white, the first word is called the subject, the third the predicate, and the second the union or copula. The whole essence of a proposition consists in these, just as the essence of a human being consists in body, soul, and their union. The same number of words occurs in every proposition made with other verbs, as in Peter runs: for this has the sense, Peter is running.

§ 2

The subject is that of which we say or predicate something, as in the proposition Peter is white: Peter is the subject, because of him it is said and predicated that he is white. The predicate, in turn, is the thing that is said or predicated of another; thus white is predicated and said of Peter in that proposition. Subject is so called from subiicio, that is, “it is thrown beneath another.” For just as, among physical things, Peter is a subject because he lies beneath accidents, while the accidents are in Peter, so logically the subject is what underlies predication, which places the predicate in it. The predicate, however, is so called because it is the thing predicated. The union is so called because it unites or joins the subject to the predicate. For it signifies that the subject and predicate are the same, which is to unite them. In a negative proposition, however, it does not unite but separates the predicate from the subject and denies that they are the same, as in Peter is not a stone.

§ 3

Predicate and subject are one thing as that which, and another as that by which. That which is the thing itself, or the object that is subjected or predicated. That by which is the word, writing, or concept by which we say one thing of another. For example, in Peter is a human being, what I say and affirm of Peter is the human being himself, who really exists in Peter; he is the predicate that which, or the matter that is predicated. But the word human being is the instrument by which I say Peter is a human being; it is the predicate that by which, that is, the formal character by which I predicate “human being.” In this sense the Nominalists say that one word is predicated of another, not as that which—for that would be false, since Peter is a human being would be false if it meant that the word Peter is the word human being—but as that by which. That is, it is predicated in the character of a sign taken for the thing signified. For it amounts to saying that the word human being is predicated that by which of the word Peter to say that the word human being is a sign of the same thing of which the word Peter is a sign. The reason is that a sign is taken for the thing signified, and thus stands in place not of itself but of the thing it signifies. For example, someone sees two images of Pompey and says, This is Pompey; the same Pompey, or the same man, is here and there—not because those images are the same or are Pompey, but because they are taken for their prototype, whose images they are. But if he sees a statue of Caesar and compares it with a statue of Pompey, he says, This is not Pompey, that is, it does not represent Pompey. I shall show elsewhere from Ockham that this is the Nominalists’ meaning. All dialecticians speak in this way when they teach rules about propositions, yet they wrongly accuse the Nominalists of it.

§ 4

From § 1, conclude that it matters little whether the subject or the union is the first or second word of a proposition. For it is not the subject because it is first, nor the union because it is in the middle; rather, it is the subject because something is said of it, and the union because it joins and states that the predicate is the same as the subject. For in the proposition Peter is white, the subject, predicate, and union are the same as in Is Peter white or White Peter is.

Sectio II. The Definition of Terms.

§ 5

The word term has a signification without limit, for it signifies a boundary, the last point, and the extremity of each thing, outside which there is nothing of that same thing and within which the whole thing is enclosed. Thus Cádiz and Irún are called the boundaries of Spain, because all Spain lies between them. Logicians use term for any expression, spoken or written, that we use in propositions. Thus some propositions are said to be self-evident, to which we necessarily assent from the explanation of the terms alone, that is, from knowledge of the words. Likewise, people who are mistaken and whom we deceive by an argument are said not to know their terms. Indeed, our Spaniards call courtiers and city-dwellers who say something elegantly people who use a good term: Dizelo con buenos terminos—“Put it in good terms.”

§ 6

Soto, in part 1 of the Summulae, chapter 5, sole lecture, note 1, teaches from Boethius that any part of a categorical proposition is a term; Villalpando, book 1 of the Summulae, chapter 1, agrees with him. Others take term to mean only the predicate and subject, prompted by Aristotle, who supports this view. The question, however, concerns not so much the thing as the word. For it is clear that the union, as well as the predicate and subject, are parts of an enunciation. Which of them should be called a term, and which should not, matters little. Soto follows the grammatical meaning; the others follow the Aristotelian and philosophical one. For a union is generally called a joining of extremes, and the extremes are the terms of the thing whose extremes they are. Indeed, precisely because it is a union, it is the middle by which the extremes are linked; for a middle implies a relation to extremes. I use term in this sense, with the Fathers of Coimbra, book 1 of the Prior Analytics, chapter 1, question 7, article 3, because term comes from terminating, as indivisibles are said to terminate the quantity whose extremes they are. This is confirmed by the fact that the whole proposition is not a term among Dialecticians, yet in Soto’s sense it would be a term, because as a whole it is a meaningful expression and is called an expression by Grammarians. Therefore, among Dialecticians term does not mean “expression.”

§ 7

Some define a term as a spoken expression signifying by convention, from which a simple proposition is formed. But this is not a good definition. First, it does not apply to everything defined: there are simple mental and written propositions that have terms which are not spoken expressions, so the definition does not apply to everything defined. You may say that it applies to them by analogy. But a whole species does not have complete likeness to another, since each has opposed differences; and it is wrong to define things taken universally by a single species. For if you were to say, An animal is a living, sentient, rational being, you would speak ineptly, because you would define a genus by a species contained under it, which is a defect: a definition must apply to all the subordinate things contained under what is defined, as the definition of animal must apply to human beings and lions. But this definition of term is general and does not apply to every term contained under the common notion of term; therefore it is bad. It is also refuted because many propositions contain a term that does not signify by convention, and so the definition is bad. I prove the premise: this is a proposition, “blytiri” is not a spoken expression signifying by convention, and yet ly blytiri is a term and does not signify by convention. Therefore.

§ 8

You may say that blytiri is used there materially. But propositions are formed from terms that materially stand for themselves, as in “Nomen” is a word of the neuter gender: nomen stands for itself, so blytiri too, by standing for itself, forms a proposition. I shall soon refute the remaining defects in this definition, when I refute Soto’s. Second, you may say that the word blytiri stands for the mental term corresponding to it. Good; then it forms a spoken proposition because it is substituted for the mental term, as will become clear in disputation 2, section 1. Therefore, for a sign to be a term in a proposition, it need not signify by convention; it is enough that it can stand for a mental term. This is common to a spoken expression that signifies by convention and one that does not.

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Sectio III. On Vocal, Written, and Mental Terms.

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Sectio IV. On Significant and Non-Significant Terms.

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Signum significativum ad placitum

Sectio V. Divisions of the Mental Term.

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Sectio VI. On Universal, Particular, Confused, and Determinate, Superior, and Inferior Terms.

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Sectio VII. On Transcendent and Non-Transcendent Terms.

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Sectio VIII. On Univocal, Equivocal, and Analogous Terms.

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Sectio IX. On Absolute and Connotative Terms.

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Sectio X. On Categorematic and Syncategorematic Terms.

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Dices categorematicos significare

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Sectio XI. Concrete, Abstract, Complex, and Incomplex; Copulative and Non-Copulative Terms.

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Sectio XII. On Negative and Non-Negative Terms: Contrary and Contradictory.

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Sectio XIII. On Terms of First and Second Intention: Pertinent and Impertinent.

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Disputatio II. On the Properties of Terms.

Sectio I. On Supposition.

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Sectio II. Formal and Material Supposition.

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Sectio III. Simple and Personal Supposition.

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Sectio IV. Common and Singular Supposition.

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Sectio V. Distributive, Copulate, Determinate, Natural, and Accidental Supposition.

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Sectio VI. On Ascent and Descent.

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Sectio VII. On Ampliation, Restriction, Alienation, and Diminution.

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Sectio VIII. On Appellation.

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Disputatio III. On Speech, Its Parts, and Division.

Sectio I. On the Noun.

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Sectio II. On the Verb.

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Sectio III. On Speech.

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Disputatio IV. On the Proposition.

Sectio I. I Define the Proposition.

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Sectio II. On the Matter, Quality, and Quantity of the Proposition.

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Sectio III. Categorical, Hypothetical, Complex, and Incomplex Propositions.

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Sectio IV. On the Equipollence of Simple Propositions.

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Sectio V. On the Conversion of the Simple Proposition.

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Sectio VI. On the Opposition of the Simple Proposition.

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Sectio VII. The Preceding Doctrine and the Rules of Opposites Explained.

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Sectio VIII. On the Modal Proposition.

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Sectio IX. Modal Propositions Explained and Described.

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Sectio X. Why Are All Propositions of Each Figure Mutually Equipollent?

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Sectio XI. On the Quantity and Quality of Each Figure.

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Sectio XII. On the Opposition of Each Figure to the Others.

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Sectio XIII. On Exponible and Exclusive Propositions.

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Sectio XIV. Difficulties Concerning This Doctrine.

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Sectio XV. On Exceptive and Reduplicative Propositions.

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Disputatio V. On the Method of Knowing.

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Sectio I. On Definition.

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Sectio II. On Division.

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Sectio III. On Argumentation.

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Sectio IV. On the Mode and Figure of the Syllogism.

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Sectio V. Ostensive Deduction of Syllogisms.

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Sectio VI. Deduction of Syllogisms to the Impossible.

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Sectio VII. On Consequence.

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Some Terms Explained.

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Logic

Disputatio I: Disputatio I. On the Object of Logic.

Sectio I. On Object and Subject in General.

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Sectio II. The Adequate Matter of Logic.

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Sectio III. Whether Words Are the Object of Logic?

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Subsectio I. Words are not the adequate object of logic.

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Subsectio II. That voices do not inadequately pertain to the logician either.

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Sectio IV. Whether a Being of Reason Is the Object of Logic?

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Subsectio I. Which beings of reason constitute the object of logic.

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Subsectio II. Refutation of the first argument drawn from authority.

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Subsectio III. Arguments for the opinion of Soto and the other Thomists.

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Subsectio IV. The object of logic is real being.

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Sectio V. Whether the Formal or Rather the Objective Method of Knowing Is the Object of Logic.

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Subsectio I. These modes of knowing are explained.

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Subsectio II. The question is resolved.

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Sectio VI. What the Logician Immediately Considers in the Formal Method of Knowing.

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Sectio VII. Whether the Formal Method of Knowing Is Treated by Attribution to the Objective.

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Sectio VIII. On the Adequate Object of Dialectical Attribution.

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Subsectio I. The first opinion.

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Subsectio II.

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Subsectio III. Definition, division, and argumentation are not the adequate object of logic.

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Subsectio IV. Demonstration alone is the adequate object of attribution.

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Sectio IX. Other Matters Concerning the Object of Logic.

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Disputatio II: Disputatio II. How Logic Attains Its Object.

Sectio I. On Logic as Used and as Taught: Whether Each Is a Science?

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Sectio II. Whether Logic Is a Practical Science or a Speculative One?

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Sectio III. Whether Logic Concurs Efficiently in the Acts of Other Sciences?

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Sectio IV. The Utility, Unity, and End of Dialectic.

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Disputatio III: Disputatio III. On the Predicables in General.

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Sectio I. I Premise Certain Points Concerning Universals.

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Sectio II. Whether Predicability Belongs to the Essence of the Universal?

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Sectio III. How Are Universals Predicated?

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Disputatio IV: Disputatio IV. On Genus.

Sectio I. I Define Genus.

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Sectio II. Whether the Material Element of Genus Is Common to All Its Inferiors?

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Sectio III. In What Sense Is Genus a Part of Species?

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Sectio IV. In What Sense Is Genus a Whole in Comparison with Species.

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Sectio V. Whether Genus Is Predicated Immediately of Individuals?

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Disputatio V: Disputatio V. On Species and the Individual.

Sectio I. On the Subjectable Species.

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Sectio II. Definition of the Predicable Species.

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Sectio III. Whether the Predicable Species Requires Several Possible Individuals? Subsectio I. The Opinion of the Thomists.

Subsectio I. The opinion of the Thomists.

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Subsectio II. The foundations of his opinion are destroyed.

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Subsectio III. The opposite opinion.

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Sectio IV. Whether Genus Can Be Found in One Species, and This in One Individual?

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Sectio V. On the Individual of First Intention.

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Sectio VI. On the Individual of Second Intention.

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Sectio VII. Whether There Is a Common Account of Individuals.

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Sectio VIII. On the Vague Individual and Its Predicability.

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Sectio IX. The Predication of the Vague Individual.

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Disputatio VI: Disputatio VI. On Difference, Property, and Accident.

Sectio I. I Set Forth the Essence of Difference.

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Sectio II. Whether Difference Is Universal in Comparison with the Species It Constitutes? And Whether Differences Belong to the Concept of Genus?

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Sectio III. Whether Genus and Subaltern Difference Belong to the Formal Concept of the Ultimate Difference?

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Sectio IV. Whether the Lowest Difference Differs Specifically from the Subaltern Difference?

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Sectio V. On Property.

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Sectio VI. On Accident.

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Disputatio VII: Disputatio VII. On What Is Common to the Five Predicables.

Sectio I. Whether Predicable Is a Genus with Respect to the Five Predicables.

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Sectio II. On the Number of Predicables.

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