Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Against the Logicians (two books)' and 'Letters to Samuel Clarke'

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24 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Ordinary speech is not exact about what is true; we say we are digging a well before the well exists [Sext.Empiricus]
2. Reason / B. Laws of Thought / 2. Sufficient Reason
There is always a reason why things are thus rather than otherwise [Leibniz]
No reason could limit the quantity of matter, so there is no limit [Leibniz]
The principle of sufficient reason is needed if we are to proceed from maths to physics [Leibniz]
2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
All simply substances are in harmony, because they all represent the one universe [Leibniz]
8. Modes of Existence / A. Relations / 1. Nature of Relations
The ratio between two lines can't be a feature of one, and cannot be in both [Leibniz]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Some properties are inseparable from a thing, such as the length, breadth and depth of a body [Sext.Empiricus]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
Fools, infants and madmen may speak truly, but do not know [Sext.Empiricus]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
Madmen are reliable reporters of what appears to them [Sext.Empiricus]
18. Thought / D. Concepts / 2. Origin of Concepts / b. Empirical concepts
We can only dream of a winged man if we have experienced men and some winged thing [Sext.Empiricus]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
The only simple things are monads, with no parts or extension [Leibniz]
Atomism is irrational because it suggests that two atoms can be indistinguishable [Leibniz]
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
Leibniz upheld conservations of momentum and energy [Leibniz, by Papineau]
27. Natural Reality / C. Space / 4. Substantival Space
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
Space and time are purely relative [Leibniz]
27. Natural Reality / D. Time / 1. Nature of Time / i. Denying time
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
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
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
The existence of God, and all metaphysics, follows from the Principle of Sufficient Reason [Leibniz]