Combining Philosophers

All the ideas for Anon (Dham), Richard Taylor and Wilfrid Hodges

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32 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
7893 Our life is the creation of our mind [Anon (Dham)]
2. Reason / D. Definition / 7. Contextual Definition
10476 The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
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 / A. Overview of Logic / 5. First-Order Logic
10478 Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
10477 |= in model-theory means 'logical consequence' - it holds in all models [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 / I. Semantics of Logic / 4. Satisfaction
10474 |= should be read as 'is a model for' or 'satisfies' [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10475 A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
10473 Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
10481 Models in model theory are structures, not sets of descriptions [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 / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
10480 First-order logic can't discriminate between one infinite cardinal and another [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]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
7898 The world is just the illusion of an appearance [Anon (Dham)]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
5078 Kant and Mill both try to explain right and wrong, without a divine lawgiver [Taylor,R]
5067 Morality based on 'forbid', 'permit' and 'require' implies someone who does these things [Taylor,R]
22. Metaethics / B. Value / 2. Values / g. Love
7894 Hate is conquered by love [Anon (Dham)]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
5079 Pleasure can have a location, and be momentary, and come and go - but happiness can't [Taylor,R]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
5068 'Eudaimonia' means 'having a good demon', implying supreme good fortune [Taylor,R]
22. Metaethics / C. The Good / 3. Pleasure / f. Dangers of pleasure
7899 Even divine pleasure will not satisfy the wise, as it is insatiable, and leads to pain [Anon (Dham)]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
5076 To Greeks it seemed obvious that the virtue of anything is the perfection of its function [Taylor,R]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
7896 The foolish gradually fill with evil, like a slowly-filled water-jar [Anon (Dham)]
7897 The wise gradually fill with good, like a slowly-filled water-jar [Anon (Dham)]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
7895 Don't befriend fools; either find superior friends, or travel alone [Anon (Dham)]
23. Ethics / D. Deontological Ethics / 1. Deontology
5077 The modern idea of obligation seems to have lost the idea of an obligation 'to' something [Taylor,R]
23. Ethics / D. Deontological Ethics / 2. Duty
5065 The ethics of duty requires a religious framework [Taylor,R]
5066 If we are made in God's image, pursuit of excellence is replaced by duty to obey God [Taylor,R]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
7900 Speak the truth, yield not to anger, give what you can to him who asks [Anon (Dham)]