Combining Texts

All the ideas for 'Logical Consequence', 'Letters to Samuel Clarke' and 'Frege'

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24 ideas

2. Reason / B. Laws of Thought / 2. Sufficient Reason
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]
2104 No reason could limit the quantity of matter, so there is no limit [Leibniz]
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
7726 Aristotelian logic dealt with inferences about concepts, and there were also proposition inferences [Weiner]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
18755 Validity is explained as truth in all models, because that relies on the logical terms [McGee]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
18751 Natural language includes connectives like 'because' which are not truth-functional [McGee]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
18761 Second-order variables need to range over more than collections of first-order objects [McGee]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
18753 An ontologically secure semantics for predicate calculus relies on sets [McGee]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
18754 Logically valid sentences are analytic truths which are just true because of their logical words [McGee]
5. Theory of Logic / K. Features of Logics / 3. Soundness
18757 Soundness theorems are uninformative, because they rely on soundness in their proofs [McGee]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
18760 The culmination of Euclidean geometry was axioms that made all models isomorphic [McGee]
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]
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]
19. Language / F. Communication / 2. Assertion
18762 A maxim claims that if we are allowed to assert a sentence, that means it must be true [McGee]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
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]
2105 Things are infinitely subdivisible and contain new worlds, which atoms would make impossible [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]