Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'Summa totius logicae' and 'Philosophy and the Nature of Language'

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31 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction
9108 From an impossibility anything follows [William of Ockham]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
9107 A proposition is true if its subject and predicate stand for the same thing [William of Ockham]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
16300 Ockham had an early axiomatic account of truth [William of Ockham, by Halbach]
5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
18739 Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
18741 Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
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]
5. Theory of Logic / G. Quantification / 1. Quantification
9106 The word 'every' only signifies when added to a term such as 'man', referring to all men [William of Ockham]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
18744 Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
9113 Just as unity is not a property of a single thing, so numbers are not properties of many things [William of Ockham]
7. Existence / A. Nature of Existence / 1. Nature of Existence
18740 If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
7. Existence / A. Nature of Existence / 3. Being / g. Particular being
9110 The words 'thing' and 'to be' assert the same idea, as a noun and as a verb [William of Ockham]
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]
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
15388 Universals are single things, and only universal in what they signify [William of Ockham]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
9109 If essence and existence were two things, one could exist without the other, which is impossible [William of Ockham]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
18745 A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
18747 The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
18748 Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
18746 Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
18750 Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
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
4563 'How now brown cow?' is used for elocution, but this says nothing about its meaning [Cooper,DE]
4562 Most people know how to use the word "Amen", but they do not know what it means [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 / 4. Mental Propositions
9105 Some concepts for propositions exist only in the mind, and in no language [William of Ockham]
19. Language / E. Analyticity / 2. Analytic Truths
4576 An analytic truth is one which becomes a logical truth when some synonyms have been replaced [Cooper,DE]