Combining Philosophers

All the ideas for Lynch,MP/Glasgow,JM, Giuseppe Peano and Peter Schulte

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23 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Numbers have been defined in terms of 'successors' to the concept of 'zero' [Peano, by Blackburn]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
PA concerns any entities which satisfy the axioms [Peano, by Bostock]
Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
0 is a non-successor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(all-n) [Peano, by Flew]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
7. Existence / C. Structure of Existence / 3. Levels of Reality
A necessary relation between fact-levels seems to be a further irreducible fact [Lynch/Glasgow]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
If some facts 'logically supervene' on some others, they just redescribe them, adding nothing [Lynch/Glasgow]
7. Existence / D. Theories of Reality / 6. Physicalism
Nonreductive materialism says upper 'levels' depend on lower, but don't 'reduce' [Lynch/Glasgow]
The hallmark of physicalism is that each causal power has a base causal power under it [Lynch/Glasgow]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Some explanations offer to explain a mystery by a greater mystery [Schulte]
18. Thought / C. Content / 1. Content
Naturalist accounts of representation must match the views of cognitive science [Schulte]
On the whole, referential content is seen as broad, and sense content as narrow [Schulte]
Naturalists must explain both representation, and what is represented [Schulte]
Phenomenal and representational character may have links, or even be united [Schulte]
Naturalistic accounts of content cannot rely on primitive mental or normative notions [Schulte]
Maybe we can explain mental content in terms of phenomenal properties [Schulte]
18. Thought / C. Content / 9. Conceptual Role Semantics
Conceptual role semantics says content is determined by cognitive role [Schulte]
18. Thought / C. Content / 10. Causal Semantics
Cause won't explain content, because one cause can produce several contents [Schulte]
18. Thought / C. Content / 11. Teleological Semantics
Teleosemantics explains content in terms of successful and unsuccessful functioning [Schulte]
Teleosemantic explanations say content is the causal result of naturally selected functions [Schulte]
18. Thought / C. Content / 12. Informational Semantics
Information theories say content is information, such as smoke making fire probable [Schulte]