Combining Texts

All the ideas for 'The Value of Science', 'Cardinality, Counting and Equinumerosity' and 'Interview with Baggini and Stangroom'

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22 ideas

1. Philosophy / D. Nature of Philosophy / 8. Humour
6848 Humour is practically enacted philosophy [Critchley]
6847 Humour can give a phenomenological account of existence, and point to change [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]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
17453 The meaning of a number isn't just the numerals leading up to it [Heck]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / f. Cardinal numbers
17457 A basic grasp of cardinal numbers needs an understanding of equinumerosity [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17448 In counting, numerals are used, not mentioned (as objects that have to correlated) [Heck]
17455 Is counting basically mindless, and independent of the cardinality involved? [Heck]
17456 Counting is the assignment of successively larger cardinal numbers to collections [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
17450 Understanding 'just as many' needn't involve grasping one-one correspondence [Heck]
17451 We can know 'just as many' without the concepts of equinumerosity or numbers [Heck]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17459 Frege's Theorem explains why the numbers satisfy the Peano axioms [Heck]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
17454 Children can use numbers, without a concept of them as countable objects [Heck]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
17458 Equinumerosity is not the same concept as one-one correspondence [Heck]
17449 We can understand cardinality without the idea of one-one correspondence [Heck]
23. Ethics / F. Existentialism / 2. Nihilism
6843 Perceiving meaninglessness is an achievement, which can transform daily life [Critchley]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
15877 The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré]