Combining Philosophers

All the ideas for Engelbretsen,G/Sayward,C, Michael Tye and Tyler Burge

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23 ideas

4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
The four 'perfect syllogisms' are called Barbara, Celarent, Darii and Ferio [Engelbretsen/Sayward]
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
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
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 / 3. Value of Logic
Given that thinking aims at truth, logic gives universal rules for how to do it [Burge]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
In modern logic all formal validity can be characterised syntactically [Engelbretsen/Sayward]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
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
Unlike most other signs, = cannot be eliminated [Engelbretsen/Sayward]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
We now have a much more sophisticated understanding of logical form in language [Burge]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
We come to believe mathematical propositions via their grounding in the structure [Burge]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
Axioms are ω-incomplete if the instances are all derivable, but the universal quantification isn't [Engelbretsen/Sayward]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
The equivalent algebra model of geometry loses some essential spatial meaning [Burge]
You can't simply convert geometry into algebra, as some spatial content is lost [Burge]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Peano arithmetic requires grasping 0 as a primitive number [Burge]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
Are sense-data independent, with identity, substance and location? [Tye]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Subjects may be unaware of their epistemic 'entitlements', unlike their 'justifications' [Burge]
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
Anti-individualism says the environment is involved in the individuation of some mental states [Burge]
Broad concepts suggest an extension of the mind into the environment (less computer-like) [Burge]
16. Persons / C. Self-Awareness / 2. Knowing the Self
Anti-individualism may be incompatible with some sorts of self-knowledge [Burge]
17. Mind and Body / C. Functionalism / 1. Functionalism
Some qualities of experience, like blurred vision, have no function at all [Burge]
18. Thought / C. Content / 1. Content
Are meaning and expressed concept the same thing? [Burge, by Segal]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
If there are no finks or antidotes at the fundamental level, the laws can't be ceteris paribus [Burge, by Corry]