Combining Texts

All the ideas for 'fragments/reports', 'Db (ideas)' and 'First-Order Logic'

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25 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
4465 Note that "is" can assert existence, or predication, or identity, or classification [PG]
2. Reason / F. Fallacies / 1. Fallacy
4686 Fallacies are errors in reasoning, 'formal' if a clear rule is breached, and 'informal' if more general [PG]
2. Reason / F. Fallacies / 3. Question Begging
7415 Question-begging assumes the proposition which is being challenged [PG]
2. Reason / F. Fallacies / 6. Fallacy of Division
7414 What is true of a set is also true of its members [PG]
2. Reason / F. Fallacies / 7. Ad Hominem
6696 The Ad Hominem Fallacy criticises the speaker rather than the argument [PG]
3. Truth / H. Deflationary Truth / 3. Minimalist Truth
4687 Minimal theories of truth avoid ontological commitment to such things as 'facts' or 'reality' [PG]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
10282 Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
10283 A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W]
10284 There are three different standard presentations of semantics [Hodges,W]
10285 I |= φ means that the formula φ is true in the interpretation I [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10289 Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W]
10288 Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W]
5. Theory of Logic / K. Features of Logics / 6. Compactness
10287 If a first-order theory entails a sentence, there is a finite subset of the theory which entails it [Hodges,W]
5. Theory of Logic / L. Paradox / 1. Paradox
6516 Monty Hall Dilemma: do you abandon your preference after Monty eliminates one of the rivals? [PG]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10286 A 'set' is a mathematically well-behaved class [Hodges,W]
10. Modality / B. Possibility / 6. Probability
24054 Everything has a probability, something will happen, and probabilities add up [PG]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / a. Naïve realism
3875 If reality is just what we perceive, we would have no need for a sixth sense [PG]
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
3876 If my team is losing 3-1, I have synthetic a priori knowledge that they need two goals for a draw [PG]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
7734 Maybe a mollusc's brain events for pain ARE of the same type (broadly) as a human's [PG]
7735 Maybe a frog's brain events for fear are functionally like ours, but not phenomenally [PG]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
5996 Critolaus redefined Aristotle's moral aim as fulfilment instead of happiness [Critolaus, by White,SA]
23. Ethics / E. Utilitarianism / 4. Unfairness
3877 Utilitarianism seems to justify the discreet murder of unhappy people [PG]
27. Natural Reality / G. Biology / 2. Life
6126 Life is Movement, Respiration, Sensation, Nutrition, Excretion, Reproduction, Growth (MRS NERG) [PG]
28. God / A. Divine Nature / 4. Divine Contradictions
3874 How could God know there wasn't an unknown force controlling his 'free' will? [PG]
3873 An omniscient being couldn't know it was omniscient, as that requires information from beyond its scope of knowledge [PG]