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All the ideas for 'works', 'Letters to Leibniz' and 'Vagueness'

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100 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / b. Seventeenth century philosophy
Leibniz aims to give coherent rational support for empiricism [Leibniz, by Perkins]
1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is a science of the intelligible nature of being [Leibniz, by Cover/O'Leary-Hawthorne]
1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Leibniz tried to combine mechanistic physics with scholastic metaphysics [Leibniz, by Pasnau]
2. Reason / A. Nature of Reason / 1. On Reason
Reason is the faculty for grasping apriori necessary truths [Leibniz, by Burge]
2. Reason / A. Nature of Reason / 4. Aims of Reason
For Leibniz rationality is based on non-contradiction and the principle of sufficient reason [Leibniz, by Benardete,JA]
2. Reason / B. Laws of Thought / 2. Sufficient Reason
Leibniz said the principle of sufficient reason is synthetic a priori, since its denial is not illogical [Leibniz, by Benardete,JA]
2. Reason / E. Argument / 6. Conclusive Proof
Leibniz is inclined to regard all truths as provable [Leibniz, by Frege]
3. Truth / A. Truth Problems / 5. Truth Bearers
Truth and falsity apply to suppositions as well as to assertions [Williamson]
3. Truth / A. Truth Problems / 7. Falsehood
True and false are not symmetrical; false is more complex, involving negation [Williamson]
4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
Many-valued logics don't solve vagueness; its presence at the meta-level is ignored [Williamson]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Formal semantics defines validity as truth preserved in every model [Williamson]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
'Bivalence' is the meta-linguistic principle that 'A' in the object language is true or false [Williamson]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Excluded Middle is 'A or not A' in the object language [Williamson]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Or-elimination is 'Argument by Cases'; it shows how to derive C from 'A or B' [Williamson]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
A sorites stops when it collides with an opposite sorites [Williamson]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
Number cannot be defined as addition of ones, since that needs the number; it is a single act of abstraction [Fine,K on Leibniz]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
The continuum is not divided like sand, but folded like paper [Leibniz, by Arthur,R]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Nature uses the infinite everywhere [Leibniz]
A tangent is a line connecting two points on a curve that are infinitely close together [Leibniz]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
Leibniz proposes monads, since there must be basic things, which are immaterial in order to have unity [Leibniz, by Jolley]
7. Existence / D. Theories of Reality / 10. Vagueness / a. Problem of vagueness
Vagueness undermines the stable references needed by logic [Williamson]
When bivalence is rejected because of vagueness, we lose classical logic [Williamson]
A vague term can refer to very precise elements [Williamson]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
Equally fuzzy objects can be identical, so fuzziness doesn't entail vagueness [Williamson]
7. Existence / D. Theories of Reality / 10. Vagueness / c. Vagueness as ignorance
Vagueness is epistemic. Statements are true or false, but we often don't know which [Williamson]
If a heap has a real boundary, omniscient speakers would agree where it is [Williamson]
The epistemic view says that the essence of vagueness is ignorance [Williamson]
If there is a true borderline of which we are ignorant, this drives a wedge between meaning and use [Williamson]
Vagueness in a concept is its indiscriminability from other possible concepts [Williamson]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
The vagueness of 'heap' can remain even when the context is fixed [Williamson]
The 'nihilist' view of vagueness says that 'heap' is not a legitimate concept [Williamson]
We can say propositions are bivalent, but vague utterances don't express a proposition [Williamson]
If the vague 'TW is thin' says nothing, what does 'TW is thin if his perfect twin is thin' say? [Williamson]
7. Existence / D. Theories of Reality / 10. Vagueness / e. Higher-order vagueness
Asking when someone is 'clearly' old is higher-order vagueness [Williamson]
7. Existence / D. Theories of Reality / 10. Vagueness / f. Supervaluation for vagueness
Supervaluation keeps classical logic, but changes the truth in classical semantics [Williamson]
You can't give a precise description of a language which is intrinsically vague [Williamson]
Supervaluation assigns truth when all the facts are respected [Williamson]
Supervaluation has excluded middle but not bivalence; 'A or not-A' is true, even when A is undecided [Williamson]
Truth-functionality for compound statements fails in supervaluation [Williamson]
Supervaluationism defines 'supertruth', but neglects it when defining 'valid' [Williamson]
Supervaluation adds a 'definitely' operator to classical logic [Williamson]
Supervaluationism cannot eliminate higher-order vagueness [Williamson]
8. Modes of Existence / A. Relations / 1. Nature of Relations
If relations can be reduced to, or supervene on, monadic properties of relata, they are not real [Leibniz, by Swoyer]
Relations aren't in any monad, so they are distributed, so they are not real [Leibniz]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
The question is whether force is self-sufficient in bodies, and essential, or dependent on something [Lenfant]
Forms have sensation and appetite, the latter being the ability to act on other bodies [Leibniz, by Garber]
The essence of a thing is its real possibilities [Leibniz, by Cover/O'Leary-Hawthorne]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalists suspect that properties etc are our projections, and could have been different [Williamson]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Leibniz moved from individuation by whole entity to individuation by substantial form [Leibniz, by Garber]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
The laws-of-the-series plays a haecceitist role [Leibniz, by Cover/O'Leary-Hawthorne]
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
Identity of a substance is the law of its persistence [Leibniz]
9. Objects / B. Unity of Objects / 1. Unifying an Object / c. Unity as conceptual
Leibniz bases pure primitive entities on conjunctions of qualitative properties [Leibniz, by Adams,RM]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Leibnizian substances add concept, law, force, form and soul [Leibniz, by Cover/O'Leary-Hawthorne]
Substances are essentially active [Leibniz, by Jolley]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
If fuzzy edges are fine, then why not fuzzy temporal, modal or mereological boundaries? [Williamson]
9. Objects / C. Structure of Objects / 2. Hylomorphism / c. Form as causal
Leibniz strengthened hylomorphism by connecting it to force in physics [Leibniz, by Garber]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Leibniz's view (that all properties are essential) is extreme essentialism, not its denial [Leibniz, by Mackie,P]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Leibniz was not an essentialist [Leibniz, by Wiggins]
9. Objects / E. Objects over Time / 8. Continuity of Rivers
A river is not just event; it needs actual and counterfactual boundaries [Williamson]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
Two eggs can't be identical, because the same truths can't apply to both of them [Leibniz]
9. Objects / F. Identity among Objects / 9. Sameness
Things are the same if one can be substituted for the other without loss of truth [Leibniz]
10. Modality / A. Necessity / 2. Nature of Necessity
Necessary truths are those provable from identities by pure logic in finite steps [Leibniz, by Hacking]
10. Modality / B. Possibility / 1. Possibility
How can things be incompatible, if all positive terms seem to be compatible? [Leibniz]
10. Modality / B. Possibility / 5. Contingency
A reason must be given why contingent beings should exist rather than not exist [Leibniz]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
We can't infer metaphysical necessities to be a priori knowable - or indeed knowable in any way [Williamson]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
Leibniz narrows down God's options to one, by non-contradiction, sufficient reason, indiscernibles, compossibility [Leibniz, by Harré]
Each monad expresses all its compatible monads; a possible world is the resulting equivalence class [Leibniz, by Rumfitt]
Leibniz proposed possible worlds, because they might be evil, where God would not create evil things [Leibniz, by Stewart,M]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
Leibniz has a counterpart view of de re counterfactuals [Leibniz, by Cover/O'Leary-Hawthorne]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
We have inexact knowledge when we include margins of error [Williamson]
11. Knowledge Aims / A. Knowledge / 2. Understanding
For Leibniz, divine understanding grasps every conceivable possibility [Leibniz, by Perkins]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
Leibniz said dualism of mind and body is illusion, and there is only mind [Leibniz, by Martin/Barresi]
Leibniz is an idealist insofar as the basic components of his universe are all mental [Leibniz, by Jolley]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
Knowing you know (KK) is usually denied if the knowledge concept is missing, or not considered [Williamson]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
The essence of substance is the law of its changes, as in the series of numbers [Leibniz]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
Leibniz introduced the idea of degrees of consciousness, essential for his monads [Leibniz, by Perkins]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
We think we are free because the causes of the will are unknown; determinism is a false problem [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism
Leibniz has a panpsychist view that physical points are spiritual [Leibniz, by Martin/Barresi]
17. Mind and Body / A. Mind-Body Dualism / 4. Occasionalism
Occasionalism give a false view of natural laws, miracles, and substances [Leibniz, by Jolley]
18. Thought / A. Modes of Thought / 2. Propositional Attitudes
To know, believe, hope or fear, one must grasp the thought, but not when you fail to do them [Williamson]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
Concepts are ordered, and show eternal possibilities, deriving from God [Leibniz, by Arthur,R]
18. Thought / D. Concepts / 4. Structure of Concepts / h. Family resemblance
'Blue' is not a family resemblance, because all the blues resemble in some respect [Williamson]
19. Language / A. Nature of Meaning / 7. Meaning Holism / a. Sentence meaning
Leibniz was the first modern to focus on sentence-sized units (where empiricists preferred word-size) [Leibniz, by Hart,WD]
19. Language / B. Reference / 1. Reference theories
References to the 'greatest prime number' have no reference, but are meaningful [Williamson]
19. Language / C. Assigning Meanings / 2. Semantics
The 't' and 'f' of formal semantics has no philosophical interest, and may not refer to true and false [Williamson]
19. Language / D. Propositions / 2. Abstract Propositions / b. Propositions as possible worlds
It is known that there is a cognitive loss in identifying propositions with possible worlds [Williamson]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Limited awareness leads to bad choices, and unconscious awareness makes us choose the bad [Leibniz, by Perkins]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
Leibniz identified beauty with intellectual perfection [Leibniz, by Gardner]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
Humans are moral, and capable of reward and punishment, because of memory and self-consciousness [Leibniz, by Jolley]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Natural law theory is found in Aquinas, in Leibniz, and at the Nuremberg trials [Leibniz, by Jolley]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
Leibniz rejected atoms, because they must be elastic, and hence have parts [Leibniz, by Garber]
Microscopes and the continuum suggest that matter is endlessly divisible [Leibniz]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter
Leibniz struggled to reconcile bodies with a reality of purely soul-like entities [Jolley on Leibniz]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / c. Matter as extension
Leibniz eventually said resistance, rather than extension, was the essence of body [Leibniz, by Pasnau]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Leibniz wanted to explain motion and its laws by the nature of body [Leibniz, by Garber]
The law within something fixes its persistence, and accords with general laws of nature [Leibniz]
26. Natural Theory / D. Laws of Nature / 10. Closure of Physics
Leibniz had an unusual commitment to the causal completeness of physics [Leibniz, by Papineau]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
Leibniz uses 'force' to mean both activity and potential [Leibniz]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
God's existence is either necessary or impossible [Leibniz, by Scruton]
28. God / C. Attitudes to God / 5. Atheism
Leibniz was closer than Spinoza to atheism [Leibniz, by Stewart,M]