Combining Texts

All the ideas for 'fragments/reports', 'To be is to be the value of a variable..' and 'On Nature Itself (De Ipsa Natura)'

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20 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
7785 The use of plurals doesn't commit us to sets; there do not exist individuals and collections [Boolos]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
10699 Does a bowl of Cheerios contain all its sets and subsets? [Boolos]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10225 Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro]
10736 Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo]
10780 Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
10697 Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
13671 Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
10267 We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro]
10698 Plural forms have no more ontological commitment than to first-order objects [Boolos]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
7806 Boolos invented plural quantification [Boolos, by Benardete,JA]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
13007 Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
10700 First- and second-order quantifiers are two ways of referring to the same things [Boolos]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
12756 Substance is a force for acting and being acted upon [Leibniz]
14. Science / D. Explanation / 2. Types of Explanation / h. Explanations by function
12755 Final causes can help with explanations in physics [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism
12760 Something rather like souls (though not intelligent) could be found everywhere [Leibniz]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
12759 There are atoms of substance, but no atoms of bulk or extension [Leibniz]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter
12718 Secondary matter is active and complete; primary matter is passive and incomplete [Leibniz]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
11854 If there is some trace of God in things, that would explain their natural force [Leibniz]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
12758 It is plausible to think substances contain the same immanent force seen in our free will [Leibniz]
28. God / C. Attitudes to God / 2. Pantheism
19408 To say that nature or the one universal substance is God is a pernicious doctrine [Leibniz]