Combining Philosophers

All the ideas for Friedrich Schlegel, Giuseppe Peano and Noam Chomsky

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17 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / c. Eighteenth century philosophy
22070 Irony is consciousness of abundant chaos [Schlegel,F]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
22069 Plato has no system. Philosophy is the progression of a mind and development of thoughts [Schlegel,F]
2. Reason / F. Fallacies / 8. Category Mistake / c. Category mistake as semantic
18009 Chomsky established the view that category mistakes are well-formed but meaningless [Chomsky, by Magidor]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
3338 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
13949 All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
18113 PA concerns any entities which satisfy the axioms [Peano, by Bostock]
17634 Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
5897 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
15653 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
17635 Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
22068 Poetry is transcendental when it connects the ideal to the real [Schlegel,F]
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
6649 Chomsky now says concepts are basically innate, as well as syntax [Chomsky, by Lowe]
19. Language / C. Assigning Meanings / 1. Syntax
18007 Syntax is independent of semantics; sentences can be well formed but meaningless [Chomsky, by Magidor]
18006 Chomsky's 'interpretative semantics' says syntax comes first, and is then interpreted [Chomsky, by Magidor]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
22030 For poets free choice is supreme [Schlegel,F]
22. Metaethics / B. Value / 2. Values / g. Love
22071 True love is ironic, in the contrast between finite limitations and the infinity of love [Schlegel,F]
23. Ethics / F. Existentialism / 3. Angst
22029 Irony is the response to conflicts of involvement and attachment [Schlegel,F, by Pinkard]