Combining Philosophers

All the ideas for Moses Schönfinkel, David E. Cooper and Bernard Bolzano

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25 ideas

2. Reason / B. Laws of Thought / 1. Laws of Thought
7807 The laws of thought are true, but they are not the axioms of logic [Bolzano, by George/Van Evra]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
9987 An aggregate in which order does not matter I call a 'set' [Bolzano]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
17699 Variables are auxiliary notions, and not part of the 'eternal' essence of logic [Schönfinkel]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
4568 If 'Queen of England' does not refer if there is no queen, its meaning can't refer if there is one [Cooper,DE]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
9618 Bolzano wanted to reduce all of geometry to arithmetic [Bolzano, by Brown,JR]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
10856 A truly infinite quantity does not need to be a variable [Bolzano]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
9830 Bolzano began the elimination of intuition, by proving something which seemed obvious [Bolzano, by Dummett]
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
17265 Philosophical proofs in mathematics establish truths, and also show their grounds [Bolzano, by Correia/Schnieder]
7. Existence / E. Categories / 5. Category Anti-Realism
4574 If some peoples do not have categories like time or cause, they can't be essential features of rationality [Cooper,DE]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
9185 Bolzano wanted to avoid Kantian intuitions, and prove everything that could be proved [Bolzano, by Dummett]
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
4573 If it is claimed that language correlates with culture, we must be able to identify the two independently [Cooper,DE]
4575 A person's language doesn't prove their concepts, but how are concepts deduced apart from language? [Cooper,DE]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
4561 Many sentences set up dispositions which are irrelevant to the meanings of the sentences [Cooper,DE]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
4564 I can meaningfully speculate that humans may have experiences currently impossible for us [Cooper,DE]
4565 The verification principle itself seems neither analytic nor verifiable [Cooper,DE]
19. Language / A. Nature of Meaning / 6. Meaning as Use
4562 Most people know how to use the word "Amen", but they do not know what it means [Cooper,DE]
4563 'How now brown cow?' is used for elocution, but this says nothing about its meaning [Cooper,DE]
19. Language / B. Reference / 1. Reference theories
4571 Reference need not be a hit-or-miss affair [Cooper,DE]
4566 Any thesis about reference is also a thesis about what exists to be referred to [Cooper,DE]
19. Language / C. Assigning Meanings / 3. Predicates
4572 If predicates name things, that reduces every sentence to a mere list of names [Cooper,DE]
19. Language / D. Propositions / 1. Propositions
22276 Bolzano saw propositions as objective entities, existing independently of us [Bolzano, by Potter]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
17264 Propositions are abstract structures of concepts, ready for judgement or assertion [Bolzano, by Correia/Schnieder]
12232 A 'proposition' is the sense of a linguistic expression, and can be true or false [Bolzano]
19. Language / E. Analyticity / 2. Analytic Truths
12233 The ground of a pure conceptual truth is only in other conceptual truths [Bolzano]
4576 An analytic truth is one which becomes a logical truth when some synonyms have been replaced [Cooper,DE]