Logic

Logic #

All handout series

Foreword to the Categories #

foreword · Categories Foreword · 3 pages · PDF · 01-Foreward_to_the_Categories.pdf

Covers: Introduction to Aristotle’s Categories, considering its matter (names said of many things, genera and species), end, form (division into ante-predicaments, predicaments, post-predicaments) and author (Aristotle).

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The Four Kinds of Opposite #

note · Categories Chapter 10 · 7 pages · PDF · 01-Opposites_Ch.10.pdf

Covers: Berquist’s commentary on Categories ch. 10 (opposites): the four kinds (relatives, contraries, lack and having, affirmation and negation), each considered in particular, and their differences. It ends with an appendix giving his division of the chapter.

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Substance - Chapter 5 #

note · Categories Chapter 5 · 7 pages · PDF · 01-Substance_Ch.5.pdf

Covers: Berquist’s commentary on Categories ch. 5 (substance): the distinction and order of first and second substance, and the properties of substance. It ends with a division of the chapter.

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Things as Named (Chapter One of the Categories) #

note · Categories Chapter 1 · 16 pages · PDF · 01-Things_as_Named_Ch.1.pdf

Covers: Berquist’s commentary on Chapter 1 of Aristotle’s Categories: the three definitions of equivocal, univocal and denominative things, the narrower sense of univocal, and why Aristotle uses ‘animal’ for both equivocal and univocal examples. Cites Aquinas (In V Metaphysicorum, De Veritate q.2 a.11 ad 8).

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Contrariety in Particular #

note · Categories Chapter 11 · 9 pages · PDF · 02-Contrariety_Ch.11.pdf

Covers: Berquist’s commentary on Chapter 11 of Aristotle’s Categories (the chapter on contraries): contraries in themselves (one contrary only? must both exist?), contraries in comparison to their subject, and contraries in comparison to genera. Includes footnotes citing Aquinas on Physics V, Lectio III, and an appendix with a division of the chapter.

(The description of what this handout covers was resolved with medium confidence.)

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A Proemium to the Categories #

foreword · Categories Proemium · 3 pages · PDF · 02-Proemium_to_the_Categories.pdf

Covers: Berquist’s introduction to the Categories. It says the work is about the distinction and order of names said of many things with the same thought of what they are (genera and species). It also touches on the ante-predicaments, predicaments and post-predicaments, and on why the work is a beginning for understanding what things are.

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Quantity - Chapter Six #

note · Categories Chapter Six (Quantity) · 17 pages · PDF · 02-Quantity_Ch.6.pdf

Covers: Commentary on Categories ch. 6 on quantity: the species of quantity (discrete and continuous; with and without position), quantities per se versus per accidens, and the three properties of quantity (no contrary, not said more or less, equal and unequal). It ends with a “Division of Chapter Six on Quantity” outline.

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Chapter Two of the Categories: Two Divisions #

note · Categories Chapter 2 (Two Divisions) · 10 pages · PDF · 02-Two_Divisions_Ch.2.pdf

Covers: Berquist’s commentary on Chapter 2 of the Categories: the division of those said (with or without intertwining) and the division of beings. Discusses what is divided (words vs. things), the disagreement between Cajetan and the Neoplatonic commentators, with a quoted passage from Aquinas’s Scriptum super Sententiis III, d. 6 on particular, individual, hypostasis, and person.

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Albert at the Cross Roads of Logic #

paper · Other 03 · 9 pages · PDF · 03-Albert_at_the_Crossroads.pdf

Covers: Essay by Duane H. Berquist on Albert the Great’s ambivalence about the aim of the logician: whether logic considers names/words per se (Boethius and the Greek Neo-Platonic commentators, first and second placing of names) or only by accident (Avicenna, Cajetan). Draws on the commentaries on Aristotle’s Categories.

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Before - Chapter 12: A Carrying Over from Greek into English of Chapter Twelve #

reading · Categories Chapter 12 (Before) · 11 pages · PDF · 03-Before_Ch.12.pdf

Covers: Translation of Categories chapter 12 on the senses of ‘before’ (prior): by time, by non-reversal of existence, by order, by honor, and by cause (the man and the true statement about him). The file’s last page (p. 11) carries Berquist’s division of the chapter, but the whole file is chiefly the translation.

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Chapter Three of the Categories (Order in said-ofs) #

note · Categories Order in said-ofs · 5 pages · PDF · 03-Order_in_said-ofs.pdf

Covers: Berquist’s commentary on Chapter Three of the Categories: the statements governing the ordering of genera, species and differences under the highest genera, with the first statement (what is said of the predicate is said of the subject) explained via Cajetan and Simplicius. The handout ends with an appended Aquinas passage (Scriptum super Sententiis I, d.19, q.4, a.2, obj.1 and ad 1) on modes of predication.

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Quality - Chapter 8 #

note · Categories Chapter 8 · 20 pages · PDF · 04-Quality_Ch.8.pdf

Covers: Berquist’s commentary on Categories ch. 8 (quality): definition of quality and its four species (habit/disposition, natural ability/inability, undergoing qualities and undergoings, figure/shape), the properties of quality, and the connection of some qualities with ’toward something’. Includes a reply to an objection about placing the same thing in two genera (genus, species and the rules of chapter 3).

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The Skopos of the Categories #

paper · Categories 04-Short_Skopos_of_the_Categories · 17 pages · PDF · 04-Short_Skopos_of_the_Categories.pdf

Covers: Berquist’s essay on the skopos (target) of Aristotle’s Categories, following the Greek Commentators (e.g. Ammonius). It states the general determination by tying a knot from the opposing opinions that the work is about things, vocal sounds or thoughts, and then untying it. It ends with two open questions on whether the genus of the skopos of a logical treatise is vocal sound, and whether any other logical treatise is about names of things.

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Chapter Four of the Categories (The Ten Categories) #

note · Categories Chapter 4 · 32 pages · PDF · 04-The_Ten_Categories.pdf

Covers: Commentary on Categories ch. 4: Aristotle’s division of things said without combination into the ten categories (substance, quantity, quality, relation, where, when, position, having, acting, undergoing); meaning of “no intertwining”, “signifies”, and the relation to Topics I (103b20-39), where the ten are enumerated.

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Together (Categories, Chapter 13) #

note · Categories 04-Together_Ch.13 · 3 pages · PDF · 04-Together_Ch.13.pdf

Covers: Berquist’s commentary dividing Categories ch. 13 into three parts: the three senses of ’together’ (same time; convertible in being; species of the same genus by the same division), the genus being before its species, and a recall of the three senses. Cites Cajetan and relates the senses of ’together’ to the senses of ‘before’.

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The Skopos or Aim of the Categories #

paper · Categories 05 · 33 pages · PDF · 05-Long_Skopos_of_the_Categories.pdf

Covers: Essay on the skopos (aim) of Aristotle’s Categories, following the seven steps of the Greek Commentators (esp. Ammonius): whether the skopos is things, thoughts or vocal sounds, resolution of that doubt, and the further steps distinguishing the Categories from other logical treatises.

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The Species of Motion #

note · Categories Chapter 14 · 17 pages · PDF · 05-Motion_Ch.14.pdf

Covers: Berquist’s commentary on Categories ch. 14: the six species of motion (generation, corruption, growth, diminution, alteration, change of place), their distinctness, and the opposition of motions; motion is led back to the ten genera.

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The Last Six Categories #

note · Categories 05 · 4 pages · PDF · 05-The_Last_Six_Categories.pdf

Covers: Commentary on Categories chapter 9 (act upon, undergo, where, when, to be laid out, to have) and the order of the last six categories, with an appendix quoting Albert the Great’s commentary on the Praedicamenta.

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Division of the Categories #

division · Categories 06 · 2 pages · PDF · 06-Division_of_the_Categories.pdf

Covers: Outline of the whole Categories, chapters 1-15: before the genera (ch. 1-4), the genera of categories (ch. 5-9), and after the genera (ch. 10-15: opposites, contrariety, before and together, species of motion, senses of ’to have’).

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Chapter Fifteen – To Have #

note · Categories To Have · 13 pages · PDF · 06-To_Have_Ch.15.pdf

Covers: Berquist’s commentary on the Postpredicament chapter on ’to have’ (Categories ch. 15). It gives the seven or eight ways in which ’to have’ is said. It shows how the genera of accidents are led back to the substance that has them. The last page quotes Aquinas, De Potentia Q. 2, Art. 1, ad 2, on how matter has form and a supposit has a nature.

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Reasoning and the Four Kinds of Argument #

note · Other 1 · 7 pages · PDF · 1-REASONING_AND_ARG.pdf

Covers: General introduction to logic: what reasoning is (defined from its beginning and end; premisses and conclusion; knowing vs. guessing), what an argument is, and the four kinds of argument (example, induction, enthymeme, syllogism), their differences and uses (example and enthymeme for singular matters in assembly and courtroom; induction and syllogism for universals in dialectic).

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The Form of the Simple Syllogism #

note · PriorAnalytics 3 · 12 pages · PDF · 3-SIMPLE_SYLLOGISM.pdf

Covers: Introduction to the form of the simple (categorical) syllogism: premises, terms, middle term, major and minor terms and premises; ends with exercises on invalid/valid forms with example terms (animal, dog, cat, stone).

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The Art About Statement #

note · DeInterpretatione · 8 pages · PDF · ART_ABOUT_STATEMENT.pdf

Covers: Berquist’s exposition of the logic of statement (De Interpretatione): definition of statement as speech signifying the true or false; simple and compound statements; composing parts (noun, verb, predicate); quantity and opposition of statements, including contradictories and contraries (A/E/I/O).

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Foreword to Logic #

foreword · Other Foreword to Logic · 10 pages · PDF · FOREWORD TO LOGIC.pdf

Covers: General introduction to logic: its matter (three acts of reason and the tools definition, statement, argument), end, form (order of study), and fathers (Socrates, Plato, Aristotle; the Organon); also the etymology of ’logic’ from logos.

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Matter of the Syllogism #

paper · Other · 4 pages · PDF · MatterOfTheSyllogism.pdf

Covers: Essay on the matter of the syllogism: demonstration versus dialectical syllogism, reasoned-out knowledge versus reasonable guess, and premisses known through themselves. The last page appears to end with unrelated material on choosing evil under the appearance of good and on Meno’s objection about inquiry.

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The Proemia to Logic #

note · AquinasCommentary Proemia to Logic · 21 pages · PDF · Proemia_to_Logic.pdf

Covers: Berquist’s discussion of the end of logic and the three acts of reason, with his English translations of Aquinas’s minor proemium (Peri Hermeneias commentary) and major proemium (Posterior Analytics commentary), including the division of logic and the liberal arts.

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