Combining Texts

All the ideas for 'The Passions of the Soul', 'Introduction of 'Essence of Christianity'' and 'Which Logic is the Right Logic?'

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31 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
10775 The axiom of choice now seems acceptable and obvious (if it is meaningful) [Tharp]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
10766 Logic is either for demonstration, or for characterizing structures [Tharp]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
10767 Elementary logic is complete, but cannot capture mathematics [Tharp]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10769 Second-order logic isn't provable, but will express set-theory and classic problems [Tharp]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / b. Basic connectives
10762 In sentential logic there is a simple proof that all truth functions can be reduced to 'not' and 'and' [Tharp]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10776 The main quantifiers extend 'and' and 'or' to infinite domains [Tharp]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
10774 There are at least five unorthodox quantifiers that could be used [Tharp]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10777 Skolem mistakenly inferred that Cantor's conceptions were illusory [Tharp]
10773 The Löwenheim-Skolem property is a limitation (e.g. can't say there are uncountably many reals) [Tharp]
5. Theory of Logic / K. Features of Logics / 3. Soundness
10765 Soundness would seem to be an essential requirement of a proof procedure [Tharp]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10763 Completeness and compactness together give axiomatizability [Tharp]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
10770 If completeness fails there is no algorithm to list the valid formulas [Tharp]
5. Theory of Logic / K. Features of Logics / 6. Compactness
10771 Compactness is important for major theories which have infinitely many axioms [Tharp]
10772 Compactness blocks infinite expansion, and admits non-standard models [Tharp]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
10764 A complete logic has an effective enumeration of the valid formulas [Tharp]
10768 Effective enumeration might be proved but not specified, so it won't guarantee knowledge [Tharp]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
3654 The pineal gland links soul to body, and unites the two symmetrical sides of the body [Descartes, by PG]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
4015 For Descartes passions are God-given preservers of the mind-body union [Descartes, by Taylor,C]
18. Thought / A. Modes of Thought / 3. Emotions / e. Basic emotions
4313 Are there a few primary passions (say, joy, sadness and desire)? [Descartes, by Cottingham]
23989 There are six primitive passions: wonder, love, hatred, desire, joy and sadness [Descartes, by Goldie]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
19451 When absorbed in deep reflection, is your reason in control, or is it you? [Feuerbach]
20. Action / B. Preliminaries of Action / 2. Willed Action / b. Volitionism
20037 Merely willing to walk leads to our walking [Descartes]
22. Metaethics / B. Value / 2. Values / e. Death
16763 We don't die because the soul departs; the soul departs because the organs cease functioning [Descartes]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
19450 Reason, love and will are the highest perfections and essence of man - the purpose of his life [Feuerbach]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
4016 Descartes makes strength of will the central virtue [Descartes, by Taylor,C]
27. Natural Reality / G. Biology / 5. Species
19448 Consciousness is said to distinguish man from animals - consciousness of his own species [Feuerbach]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
19454 A God needs justice, kindness and wisdom, but those concepts don't depend on the concept of God [Feuerbach]
28. God / C. Attitudes to God / 4. God Reflects Humanity
19452 The nature of God is an expression of human nature [Feuerbach]
28. God / C. Attitudes to God / 5. Atheism
19453 If love, goodness and personality are human, the God who is their source is anthropomorphic [Feuerbach]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
19449 Religion is the consciousness of the infinite [Feuerbach]
19455 Today's atheism will tomorrow become a religion [Feuerbach]