Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Conditionals and Possibilia' and 'Heidegger: an introduction'

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7 ideas

1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
Knowledge is not a static set of correct propositions, but a continuing search for better interpretations [Polt]
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
10. Modality / B. Possibility / 1. Possibility
When we consider possibilities, there must be something we are considering [Polt]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
The truth-functional account of conditionals is right, if the antecedent is really acceptable [Jackson, by Edgington]