Combining Texts

All the ideas for 'Leibniz', 'On Second-Order Logic' and 'The Sentiment of Rationality'

expand these ideas     |    start again     |     specify just one area for these texts

26 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
22659 It is wisdom to believe what you desire, because belief is needed to achieve it [James]
1. Philosophy / D. Nature of Philosophy / 1. Philosophy
22657 All good philosophers start from a dumb conviction about which truths can be revealed [James]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
22647 A complete system is just a classification of the whole world's ingredients [James]
2. Reason / A. Nature of Reason / 5. Objectivity
22648 A single explanation must have a single point of view [James]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
22644 Our greatest pleasure is the economy of reducing chaotic facts to one single fact [James]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
14249 Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
10830 Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
10829 A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10832 '∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10834 Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
13841 Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
10833 Many concepts can only be expressed by second-order logic [Boolos]
7. Existence / E. Categories / 2. Categorisation
22649 Classification can only ever be for a particular purpose [James]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
7566 The Identity of Indiscernibles is really the same as the verification principle [Jolley]
14. Science / A. Basis of Science / 1. Observation
22655 Scientific genius extracts more than other people from the same evidence [James]
14. Science / A. Basis of Science / 6. Falsification
22658 Experimenters assume the theory is true, and stick to it as long as result don't disappoint [James]
14. Science / C. Induction / 3. Limits of Induction
22654 We can't know if the laws of nature are stable, but we must postulate it or assume it [James]
14. Science / C. Induction / 6. Bayes's Theorem
22656 Trying to assess probabilities by mere calculation is absurd and impossible [James]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
22646 We have a passion for knowing the parts of something, rather than the whole [James]
15. Nature of Minds / A. Nature of Mind / 1. Mind / b. Purpose of mind
22652 The mind has evolved entirely for practical interests, seen in our reflex actions [James]
15. Nature of Minds / A. Nature of Mind / 7. Animal Minds
22651 Dogs' curiosity only concerns what will happen next [James]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
22650 How can the ground of rationality be itself rational? [James]
18. Thought / A. Modes of Thought / 5. Rationality / b. Human rationality
22643 It seems that we feel rational when we detect no irrationality [James]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
22660 Evolution suggests prevailing or survival as a new criterion of right and wrong [James]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
22645 Understanding by means of causes is useless if they are not reduced to a minimum number [James]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
22653 Early Christianity says God recognises the neglected weak and tender impulses [James]