Combining Texts

All the ideas for 'fragments/reports', 'Monadology' and 'The Foundations of Mathematics'

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


29 ideas

2. Reason / B. Laws of Thought / 2. Sufficient Reason
No fact can be real and no proposition true unless there is a Sufficient Reason (even if we can't know it) [Leibniz]
3. Truth / D. Coherence Truth / 1. Coherence Truth
Everything in the universe is interconnected, so potentially a mind could know everything [Leibniz]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: there is an infinity of distinguishable individuals [Ramsey]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]
5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction
Falsehood involves a contradiction, and truth is contradictory of falsehood [Leibniz]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey]
5. Theory of Logic / L. Paradox / 1. Paradox
Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
The monad idea incomprehensibly spiritualises matter, instead of materialising soul [La Mettrie on Leibniz]
He replaced Aristotelian continuants with monads [Leibniz, by Wiggins]
Is a drop of urine really an infinity of thinking monads? [Voltaire on Leibniz]
It is unclear in 'Monadology' how extended bodies relate to mind-like monads. [Garber on Leibniz]
Changes in a monad come from an internal principle, and the diversity within its substance [Leibniz]
A 'monad' has basic perception and appetite; a 'soul' has distinct perception and memory [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / e. Substance critique
If a substance is just a thing that has properties, it seems to be a characterless non-entity [Leibniz, by Macdonald,C]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
There must be some internal difference between any two beings in nature [Leibniz]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
Truths of reason are known by analysis, and are necessary; facts are contingent, and their opposites possible [Leibniz]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
I just confront the evidence, and let it act on me [Ramsey]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
Mathematical analysis ends in primitive principles, which cannot be and need not be demonstrated [Leibniz]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
We all expect the sun to rise tomorrow by experience, but astronomers expect it by reason [Leibniz]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey]
15. Nature of Minds / B. Features of Minds / 3. Privacy
Increase a conscious machine to the size of a mill - you still won't see perceptions in it [Leibniz]
16. Persons / C. Self-Awareness / 2. Knowing the Self
We know the 'I' and its contents by abstraction from awareness of necessary truths [Leibniz]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
The true elements are atomic monads [Leibniz]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
28. God / A. Divine Nature / 3. Divine Perfections
This is the most perfect possible universe, in its combination of variety with order [Leibniz]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
God alone (the Necessary Being) has the privilege that He must exist if He is possible [Leibniz]