Combining Texts

All the ideas for 'Structure and Nature', 'Intensional Logic' and 'Letters to Samuel Clarke'

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24 ideas

2. Reason / B. Laws of Thought / 2. Sufficient Reason
2104 No reason could limit the quantity of matter, so there is no limit [Leibniz]
2098 The principle of sufficient reason is needed if we are to proceed from maths to physics [Leibniz]
3646 There is always a reason why things are thus rather than otherwise [Leibniz]
4. Formal Logic / E. Nonclassical Logics / 8. Intensional Logic
15375 If terms change their designations in different states, they are functions from states to objects [Fitting]
15376 Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting]
4. Formal Logic / E. Nonclassical Logics / 9. Awareness Logic
15378 Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting]
4. Formal Logic / E. Nonclassical Logics / 10. Justification Logics
15379 Justication logics make explicit the reasons for mathematical truth in proofs [Fitting]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
11026 Classical logic is deliberately extensional, in order to model mathematics [Fitting]
5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
11028 λ-abstraction disambiguates the scope of modal operators [Fitting]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
10242 I apply structuralism to concrete and abstract objects indiscriminately [Quine]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
19385 All simply substances are in harmony, because they all represent the one universe [Leibniz]
7. Existence / D. Theories of Reality / 6. Physicalism
10243 My ontology is quarks etc., classes of such things, classes of such classes etc. [Quine]
8. Modes of Existence / A. Relations / 1. Nature of Relations
21346 The ratio between two lines can't be a feature of one, and cannot be in both [Leibniz]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
15377 Definite descriptions pick out different objects in different possible worlds [Fitting]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
2105 Things are infinitely subdivisible and contain new worlds, which atoms would make impossible [Leibniz]
2106 The only simple things are monads, with no parts or extension [Leibniz]
2102 Atomism is irrational because it suggests that two atoms can be indistinguishable [Leibniz]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / c. Conservation of energy
20965 Leibniz upheld conservations of momentum and energy [Leibniz, by Papineau]
27. Natural Reality / C. Space / 4. Substantival Space
2103 The idea that the universe could be moved forward with no other change is just a fantasy [Leibniz]
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
2100 Space and time are purely relative [Leibniz]
27. Natural Reality / D. Time / 1. Nature of Time / i. Denying time
2107 No time exists except instants, and instants are not even a part of time, so time does not exist [Leibniz]
27. Natural Reality / D. Time / 2. Passage of Time / a. Experience of time
2101 If everything in the universe happened a year earlier, there would be no discernible difference [Leibniz]
28. God / A. Divine Nature / 5. God and Time
22894 If time were absolute that would make God's existence dependent on it [Leibniz, by Bardon]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
2099 The existence of God, and all metaphysics, follows from the Principle of Sufficient Reason [Leibniz]