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All the ideas for 'Philosophical Logic: Intro to Advanced Topics', 'Substance' and 'Structuralism'

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24 ideas

4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
13913 The four 'perfect syllogisms' are called Barbara, Celarent, Darii and Ferio [Engelbretsen/Sayward]
13914 Syllogistic logic has one rule: what is affirmed/denied of wholes is affirmed/denied of their parts [Engelbretsen/Sayward]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
13915 Syllogistic can't handle sentences with singular terms, or relational terms, or compound sentences [Engelbretsen/Sayward]
4. Formal Logic / A. Syllogistic Logic / 3. Term Logic
13916 Term logic uses expression letters and brackets, and '-' for negative terms, and '+' for compound terms [Engelbretsen/Sayward]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
13850 In modern logic all formal validity can be characterised syntactically [Engelbretsen/Sayward]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
13849 Classical logic rests on truth and models, where constructivist logic rests on defence and refutation [Engelbretsen/Sayward]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
13851 Unlike most other signs, = cannot be eliminated [Engelbretsen/Sayward]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
13852 Axioms are ω-incomplete if the instances are all derivable, but the universal quantification isn't [Engelbretsen/Sayward]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
8921 Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
8922 Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman]
8. Modes of Existence / A. Relations / 4. Formal Relations / c. Ancestral relation
12056 An ancestral relation is either direct or transitively indirect [Wiggins]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
12050 Substances contain a source of change or principle of activity [Wiggins]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
12055 Sortal predications are answers to the question 'what is x?' [Wiggins]
12059 A river may change constantly, but not in respect of being a river [Wiggins]
12052 We never single out just 'this', but always 'this something-or-other' [Wiggins]
12063 Sortal classification becomes science, with cross reference clarifying individuals [Wiggins]
12051 If the kinds are divided realistically, they fall into substances [Wiggins]
12053 'Human being' is a better answer to 'what is it?' than 'poet', as the latter comes in degrees [Wiggins]
12054 Secondary substances correctly divide primary substances by activity-principles and relations [Wiggins]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
12047 We refer to persisting substances, in perception and in thought, and they aid understanding [Wiggins]
9. Objects / C. Structure of Objects / 3. Matter of an Object
12057 Matter underlies things, composes things, and brings them to be [Wiggins]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
12064 The category of substance is more important for epistemology than for ontology [Wiggins]
12049 Naming the secondary substance provides a mass of general information [Wiggins]
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
12065 Seeing a group of soldiers as an army is irresistible, in ontology and explanation [Wiggins]