Combining Philosophers

All the ideas for Arnauld / Nicole, Tyler Burge and Mikhail Bakunin

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21 ideas

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 / 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]
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]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
We can rise by degrees through abstraction, with higher levels representing more things [Arnauld,A/Nicole,P]
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 / 3. Representation
We can only know the exterior world via our ideas [Arnauld,A/Nicole,P]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Subjects may be unaware of their epistemic 'entitlements', unlike their 'justifications' [Burge]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Forms make things distinct and explain the properties, by pure form, or arrangement of parts [Arnauld,A/Nicole,P]
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]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
We know by abstraction because we only understand composite things a part at a time [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
No one denies that a line has width, but we can just attend to its length [Arnauld,A/Nicole,P]
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]
24. Political Theory / D. Ideologies / 8. Socialism
Liberty without socialism is injustice; socialism without liberty is brutality [Bakunin]
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]