Combining Texts

All the ideas for 'fragments/reports', 'Introduction to 'Self-Knowledge'' and 'First-Order Logic'

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17 ideas

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]
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]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
5673 If we have a pain, we are strongly aware of the bodily self [Cassam]
16. Persons / C. Self-Awareness / 1. Introspection
5670 Knowledge of thoughts covers both their existence and their contents [Cassam]
16. Persons / C. Self-Awareness / 2. Knowing the Self
5671 Outer senses are as important as introspection in the acquisition of self-knowledge [Cassam]
5672 Is there a mode of self-awareness that isn't perception, and could it give self-knowledge? [Cassam]
5675 Neither self-consciousness nor self-reference require self-knowledge [Cassam]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
5674 We can't introspect ourselves as objects, because that would involve possible error [Cassam]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
6000 The goal is rationality in the selection of things according to nature [Diogenes of Babylon, by Blank]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
5999 The good is what is perfect by nature [Diogenes of Babylon, by Blank]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
6001 Justice is a disposition to distribute according to desert [Diogenes of Babylon, by Blank]