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

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

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Sectio II. The Definition of Terms.

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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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But Aristotle by the examples adduced in that chapter excludes from the definition of contradiction the opposition between universal and singular: the reason is at hand, because either can be false, as omnis homo currit is false when Peter is not running, and Antonius non currit is false when Antony is running; but both can be at once, both Peter not running and Antony running. Hence it is clear that all the precepts of contradiction do not fit this opposition. To the other reason. It is answered that a confused proposition is opposed contradictorily to a universal, because it ranges over all individuals confusedly; for its falsity one individual does not suffice, as aliquis homo non currit is not false because Antony is not running, as Antonius non currit is, because it is concerned with him in the singular; but the law of contradictories depends on the clear or obscure mode of conceiving: whence Peter obscurely and vaguely known does not make a particular proposition false as he makes a singular one false when he is clearly known. But this opposition can be reduced to the contrary, because they have repugnance in truth alone and not in falsity; indeed by reason of that contrariety they do not have opposition in falsity, as I shall show in the following section. Aristotle himself in ch. 6 added that two singular propositions opposed in quality concerning the same subject and predicate are contradictory, as Socrates est albus, Socrates non est albus. Whence contradictory opposition is defined as the repugnance of two propositions according to quality, of which the one is affirmative and the other negative. Likewise the one universal, the other particular, or both singular.

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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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