Combining Texts

All the ideas for 'The Logic of Scientific Discovery', 'Abstract Objects' and 'Philosophy of Arithmetic'

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24 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
22358 Scientific objectivity lies in inter-subjective testing [Popper]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
9837 0 is not a number, as it answers 'how many?' negatively [Husserl, by Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
9576 Multiplicity in general is just one and one and one, etc. [Husserl]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
17444 Husserl said counting is more basic than Frege's one-one correspondence [Husserl, by Heck]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
8915 How we refer to abstractions is much less clear than how we refer to other things [Rosen]
14. Science / A. Basis of Science / 6. Falsification
22188 Give Nobel Prizes for really good refutations? [Gorham on Popper]
7780 Falsification is the criterion of demarcation between science and non-science [Popper, by Magee]
16830 We don't only reject hypotheses because we have falsified them [Lipton on Popper]
6794 If falsification requires logical inconsistency, then probabilistic statements can't be falsified [Bird on Popper]
6795 When Popper gets in difficulties, he quietly uses induction to help out [Bird on Popper]
14. Science / B. Scientific Theories / 2. Aim of Science
3856 Good theories have empirical content, explain a lot, and are not falsified [Popper, by Newton-Smith]
14. Science / C. Induction / 3. Limits of Induction
7779 There is no such thing as induction [Popper, by Magee]
14. Science / C. Induction / 4. Reason in Induction
3860 Science cannot be shown to be rational if induction is rejected [Newton-Smith on Popper]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
9575 Husserl identifies a positive mental act of unification, and a negative mental act for differences [Husserl, by Frege]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
21214 We clarify concepts (e.g. numbers) by determining their psychological origin [Husserl, by Velarde-Mayol]
18. Thought / E. Abstraction / 2. Abstracta by Selection
8917 The Way of Abstraction used to say an abstraction is an idea that was formed by abstracting [Rosen]
18. Thought / E. Abstraction / 5. Abstracta by Negation
8912 Nowadays abstractions are defined as non-spatial, causally inert things [Rosen]
8913 Chess may be abstract, but it has existed in specific space and time [Rosen]
8914 Sets are said to be abstract and non-spatial, but a set of books can be on a shelf [Rosen]
18. Thought / E. Abstraction / 6. Abstracta by Conflation
8916 Conflating abstractions with either sets or universals is a big claim, needing a big defence [Rosen]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
8918 Functional terms can pick out abstractions by asserting an equivalence relation [Rosen]
8919 Abstraction by equivalence relationships might prove that a train is an abstract entity [Rosen]
18. Thought / E. Abstraction / 8. Abstractionism Critique
9819 Psychologism blunders in focusing on concept-formation instead of delineating the concepts [Dummett on Husserl]
9851 Husserl wanted to keep a shadowy remnant of abstracted objects, to correlate them [Dummett on Husserl]