Combining Texts

All the ideas for 'Defending the Axioms', 'Formal and Material Consequence' and 'Interview with Baggini and Stangroom'

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24 ideas

1. Philosophy / D. Nature of Philosophy / 8. Humour
6847 Humour can give a phenomenological account of existence, and point to change [Critchley]
6848 Humour is practically enacted philosophy [Critchley]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
6844 Scientism is the view that everything can be explained causally through scientific method [Critchley]
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
6835 German idealism aimed to find a unifying principle for Kant's various dualisms [Critchley]
6837 Since Hegel, continental philosophy has been linked with social and historical enquiry. [Critchley]
6836 Continental philosophy fights the threatened nihilism in the critique of reason [Critchley]
6838 Continental philosophy is based on critique, praxis and emancipation [Critchley]
6845 Continental philosophy has a bad tendency to offer 'one big thing' to explain everything [Critchley]
1. Philosophy / H. Continental Philosophy / 2. Phenomenology
6846 Phenomenology is a technique of redescription which clarifies our social world [Critchley]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
14187 If logic is topic-neutral that means it delves into all subjects, rather than having a pure subject matter [Read]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
14188 Not all arguments are valid because of form; validity is just true premises and false conclusion being impossible [Read]
14182 If the logic of 'taller of' rests just on meaning, then logic may be the study of merely formal consequence [Read]
14183 Maybe arguments are only valid when suppressed premises are all stated - but why? [Read]
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
14184 In modus ponens the 'if-then' premise contributes nothing if the conclusion follows anyway [Read]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
14186 Logical connectives contain no information, but just record combination relations between facts [Read]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
14185 Conditionals are just a shorthand for some proof, leaving out the details [Read]
23. Ethics / F. Existentialism / 2. Nihilism
6843 Perceiving meaninglessness is an achievement, which can transform daily life [Critchley]