Combining Philosophers

All the ideas for Thales, Gerhard Gentzen and Thomas S. Kuhn

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20 ideas

1. Philosophy / B. History of Ideas / 2. Ancient Thought
Thales was the first western thinker to believe the arché was intelligible [Roochnik on Thales]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
'Truth' may only apply within a theory [Kuhn]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]
The logical connectives are 'defined' by their introduction rules [Gentzen]
Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
Nothing is stronger than necessity, which rules everything [Thales, by Diog. Laertius]
14. Science / A. Basis of Science / 6. Falsification
Most theories are continually falsified [Kuhn, by Kitcher]
Kuhn's scientists don't aim to falsifying their paradigm, because that is what they rely on [Kuhn, by Gorham]
14. Science / B. Scientific Theories / 1. Scientific Theory
Kuhn came to accept that all scientists agree on a particular set of values [Kuhn, by Bird]
14. Science / B. Scientific Theories / 4. Paradigm
Switching scientific paradigms is a conversion experience [Kuhn]
14. Science / B. Scientific Theories / 5. Commensurability
Kuhn has a description theory of reference, so the reference of 'electron' changes with the descriptions [Rowlands on Kuhn]
Incommensurability assumes concepts get their meaning from within the theory [Kuhn, by Okasha]
Galileo's notions can't be 'incommensurable' if we can fully describe them [Putnam on Kuhn]
In theory change, words shift their natural reference, so the theories are incommensurable [Kuhn]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
Thales said water is the first principle, perhaps from observing that food is moist [Thales, by Aristotle]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
Thales must have thought soul causes movement, since he thought magnets have soul [Thales, by Aristotle]
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
Thales said the gods know our wrong thoughts as well as our evil actions [Thales, by Diog. Laertius]