Combining Texts

All the ideas for 'The Emperor's New 'Knows'', 'How the Laws of Physics Lie' and 'On Second-Order Logic'

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27 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
14249 Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
10830 Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
10829 A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10832 '∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10834 Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
13841 Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
10833 Many concepts can only be expressed by second-order logic [Boolos]
7. Existence / E. Categories / 4. Category Realism
16185 Causality indicates which properties are real [Cartwright,N]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism
12900 How could 'S knows he has hands' not have a fixed content? [Bach]
12901 If contextualism is right, knowledge sentences are baffling out of their context [Bach]
12902 Sceptics aren't changing the meaning of 'know', but claiming knowing is tougher than we think [Bach]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
16182 Two main types of explanation are by causes, or by citing a theoretical framework [Cartwright,N]
14. Science / D. Explanation / 2. Types of Explanation / c. Explanations by coherence
16184 An explanation is a model that fits a theory and predicts the phenomenological laws [Cartwright,N]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
16167 Laws get the facts wrong, and explanation rests on improvements and qualifications of laws [Cartwright,N]
16169 Laws apply to separate domains, but real explanations apply to intersecting domains [Cartwright,N]
16176 Covering-law explanation lets us explain storms by falling barometers [Cartwright,N]
16177 I disagree with the covering-law view that there is a law to cover every single case [Cartwright,N]
16180 You can't explain one quail's behaviour by just saying that all quails do it [Cartwright,N]
16171 The covering law view assumes that each phenomenon has a 'right' explanation [Cartwright,N]
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
16183 In science, best explanations have regularly turned out to be false [Cartwright,N]
26. Natural Theory / C. Causation / 8. Particular Causation / e. Probabilistic causation
16175 A cause won't increase the effect frequency if other causes keep interfering [Cartwright,N]
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
6781 There are fundamental explanatory laws (false!), and phenomenological laws (regularities) [Cartwright,N, by Bird]
16166 Laws of appearances are 'phenomenological'; laws of reality are 'theoretical' [Cartwright,N]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
16179 Good organisation may not be true, and the truth may not organise very much [Cartwright,N]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
16170 To get from facts to equations, we need a prepared descriptions suited to mathematics [Cartwright,N]
16181 Simple laws have quite different outcomes when they act in combinations [Cartwright,N]
16178 There are few laws for when one theory meets another [Cartwright,N]