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All the ideas for 'Letters to Antoine Arnauld', 'Sameness and Substance Renewed' and 'Categories'

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122 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Wisdom is the science of happiness [Leibniz]
1. Philosophy / A. Wisdom / 2. Wise People
Wise people have fewer acts of will, because such acts are linked together [Leibniz]
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Without extensive examination firm statements are hard, but studying the difficulties is profitable [Aristotle]
1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Metaphysics is geometrical, resting on non-contradiction and sufficient reason [Leibniz]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
We learn a concept's relations by using it, without reducing it to anything [Wiggins]
2. Reason / B. Laws of Thought / 4. Contraries
The contrary of good is bad, but the contrary of bad is either good or another evil [Aristotle]
Both sides of contraries need not exist (as health without sickness, white without black) [Aristotle]
2. Reason / D. Definition / 4. Real Definition
Definitions can only be real if the item is possible [Leibniz]
2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes
The differentiae of genera which are different are themselves different in kind [Aristotle]
3. Truth / A. Truth Problems / 1. Truth
A truth is just a proposition in which the predicate is contained within the subject [Leibniz]
The predicate is in the subject of a true proposition [Leibniz]
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
A true existence statement has its truth caused by the existence of the thing [Aristotle]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Predications of predicates are predications of their subjects [Aristotle]
5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
(λx)[Man x] means 'the property x has iff x is a man'. [Wiggins]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
One is prior to two, because its existence is implied by two [Aristotle]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Parts of a line join at a point, so it is continuous [Aristotle]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
There is no multiplicity without true units [Leibniz]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Some quantities are discrete, like number, and others continuous, like lines, time and space [Aristotle]
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
Primary being must be more than mere indeterminate ultimate subject of predication [Politis on Aristotle]
7. Existence / A. Nature of Existence / 3. Being / g. Particular being
What is not truly one being is not truly a being either [Leibniz]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
What exists can't depend on our conceptual scheme, and using all conceptual schemes is too liberal [Sider on Wiggins]
7. Existence / B. Change in Existence / 1. Nature of Change
There are six kinds of change: generation, destruction, increase, diminution, alteration, change of place [Aristotle]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
A thing is prior to another if it implies its existence [Aristotle]
Of interdependent things, the prior one causes the other's existence [Aristotle]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
A thing 'expresses' another if they have a constant and fixed relationship [Leibniz]
7. Existence / E. Categories / 3. Proposed Categories
There are ten basic categories for thinking about things [Aristotle]
The categories (substance, quality, quantity, relation, action, passion, place, time) peter out inconsequentially [Benardete,JA on Aristotle]
Substance,Quantity,Quality,Relation,Place,Time,Being-in-a-position,Having,Doing,Being affected [Aristotle, by Westerhoff]
7. Existence / E. Categories / 4. Category Realism
Aristotle derived categories as answers to basic questions about nature, size, quality, location etc. [Aristotle, by Gill,ML]
8. Modes of Existence / A. Relations / 1. Nature of Relations
Aristotle said relations are not substances, so (if they exist) they must be accidents [Aristotle, by Heil]
8. Modes of Existence / B. Properties / 2. Need for Properties
Aristotle promoted the importance of properties and objects (rather than general and particular) [Aristotle, by Frede,M]
8. Modes of Existence / B. Properties / 6. Categorical Properties
Some things said 'of' a subject are not 'in' the subject [Aristotle]
We call them secondary 'substances' because they reveal the primary substances [Aristotle]
8. Modes of Existence / B. Properties / 9. Qualities
Four species of quality: states, capacities, affects, and forms [Aristotle, by Pasnau]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
A substance contains the laws of its operations, and its actions come from its own depth [Leibniz]
8. Modes of Existence / D. Universals / 3. Instantiated Universals
Colour must be in an individual body, or it is not embodied [Aristotle]
9. Objects / A. Existence of Objects / 1. Physical Objects
Aristotle gave up his earlier notion of individuals, because it relied on universals [Aristotle, by Frede,M]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
We can accept criteria of distinctness and persistence, without making the counterfactual claims [Mackie,P on Wiggins]
Activity individuates natural things, functions do artefacts, and intentions do artworks [Wiggins]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
The idea of 'thisness' is better expressed with designation/predication and particular/universal [Wiggins]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Genus and species are substances, because only they reveal the primary substance [Aristotle, by Wedin]
A sortal essence is a thing's principle of individuation [Wiggins, by Mackie,P]
Wiggins's sortal essentialism rests on a thing's principle of individuation [Wiggins, by Mackie,P]
The evening star is the same planet but not the same star as the morning star, since it is not a star [Wiggins]
'Sortalism' says parts only compose a whole if it falls under a sort or kind [Wiggins, by Hossack]
Identity a=b is only possible with some concept to give persistence and existence conditions [Wiggins, by Strawson,P]
A thing is necessarily its highest sortal kind, which entails an essential constitution [Wiggins, by Strawson,P]
Many predicates are purely generic, or pure determiners, rather than sortals [Wiggins]
The possibility of a property needs an essential sortal concept to conceive it [Wiggins]
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
Philosophy needs the precision of the unity given by substances [Leibniz]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
Accidental unity has degrees, from a mob to a society to a machine or organism [Leibniz]
9. Objects / B. Unity of Objects / 1. Unifying an Object / c. Unity as conceptual
We find unity in reason, and unity in perception, but these are not true unity [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Substances have no opposites, and don't come in degrees (including if the substance is a man) [Aristotle]
Is primary substance just an ultimate subject, or some aspect of a complex body? [Aristotle, by Gill,ML]
Primary being is 'that which lies under', or 'particular substance' [Aristotle, by Politis]
A body is a unified aggregate, unless it has an indivisible substance [Leibniz]
Unity needs an indestructible substance, to contain everything which will happen to it [Leibniz]
Every bodily substance must have a soul, or something analogous to a soul [Leibniz]
A single substance can receive contrary properties [Aristotle]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
Aggregates don’t reduce to points, or atoms, or illusion, so must reduce to substance [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Secondary substances do have subjects, so they are not ultimate in the ontology [Aristotle, by Frede,M]
In earlier Aristotle the substances were particulars, not kinds [Aristotle, by Lawson-Tancred]
A 'primary' substance is in each subject, with species or genera as 'secondary' substances [Aristotle]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Earlier Aristotle had objects as primary substances, but later he switched to substantial form [Aristotle, by Lowe]
Things are called 'substances' because they are subjects for everything else [Aristotle]
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
Objects can only coincide if they are of different kinds; trees can't coincide with other trees [Wiggins, by Sider]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Is the Pope's crown one crown, if it is made of many crowns? [Wiggins]
Boundaries are not crucial to mountains, so they are determinate without a determinate extent [Wiggins]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Identity is an atemporal relation, but composition is relative to times [Wiggins, by Sider]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
If I destroy an item, I do not destroy each part of it [Wiggins]
9. Objects / D. Essence of Objects / 1. Essences of Objects
Basic predicates give the complete concept, which then predicts all of the actions [Leibniz]
Essences exist in the divine understanding [Leibniz]
9. Objects / D. Essence of Objects / 3. Individual Essences
A primary substance reveals a 'this', which is an individual unit [Aristotle]
We can forget about individual or particularized essences [Wiggins]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Bodies need a soul (or something like it) to avoid being mere phenomena [Leibniz]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Primary substances are ontological in 'Categories', and explanatory in 'Metaphysics' [Aristotle, by Wedin]
Essences are not explanations, but individuations [Wiggins]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Essentialism is best represented as a predicate-modifier: □(a exists → a is F) [Wiggins, by Mackie,P]
9. Objects / D. Essence of Objects / 10. Essence as Species
Truths about species are eternal or necessary, but individual truths concern what exists [Leibniz]
9. Objects / D. Essence of Objects / 13. Nominal Essence
The nominal essence is the idea behind a name used for sorting [Wiggins]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
It is easier to go from horses to horse-stages than from horse-stages to horses [Wiggins]
9. Objects / E. Objects over Time / 9. Ship of Theseus
The question is not what gets the title 'Theseus' Ship', but what is identical with the original [Wiggins]
9. Objects / F. Identity among Objects / 1. Concept of Identity
Identity over a time and at a time aren't different concepts [Wiggins]
Hesperus=Hesperus, and Phosphorus=Hesperus, so necessarily Phosphorus=Hesperus [Wiggins]
9. Objects / F. Identity among Objects / 2. Defining Identity
The formal properties of identity are reflexivity and Leibniz's Law [Wiggins]
9. Objects / F. Identity among Objects / 3. Relative Identity
Relative Identity is incompatible with the Indiscernibility of Identicals [Wiggins, by Strawson,P]
Relativity of Identity makes identity entirely depend on a category [Wiggins]
To identify two items, we must have a common sort for them [Wiggins]
9. Objects / F. Identity among Objects / 5. Self-Identity
Aristotle denigrates the category of relation, but for modern absolutists self-relation is basic [Benardete,JA on Aristotle]
9. Objects / F. Identity among Objects / 8. Leibniz's Law
Do both 'same f as' and '=' support Leibniz's Law? [Wiggins]
Substitutivity, and hence most reasoning, needs Leibniz's Law [Wiggins]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
Possible worlds rest on the objects about which we have suppositions [Wiggins]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / b. Worlds as fictions
Not every story corresponds to a possible world [Wiggins]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
If varieties of myself can be conceived of as distinct from me, then they are not me [Leibniz]
If someone's life went differently, then that would be another individual [Leibniz]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
I cannot think my non-existence, nor exist without being myself [Leibniz]
11. Knowledge Aims / B. Certain Knowledge / 5. Cogito Critique
I can't just know myself to be a substance; I must distinguish myself from others, which is hard [Leibniz]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
Nothing should be taken as certain without foundations [Leibniz]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Nature is explained by mathematics and mechanism, but the laws rest on metaphysics [Leibniz]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
To fully conceive the subject is to explain the resulting predicates and events [Leibniz]
Asking 'what is it?' nicely points us to the persistence of a continuing entity [Wiggins]
15. Nature of Minds / A. Nature of Mind / 1. Mind / b. Purpose of mind
Mind is a thinking substance which can know God and eternal truths [Leibniz]
15. Nature of Minds / A. Nature of Mind / 7. Animal Minds
It seems probable that animals have souls, but not consciousness [Leibniz]
16. Persons / F. Free Will / 7. Compatibilism
Everything which happens is not necessary, but is certain after God chooses this universe [Leibniz]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
Concepts are what unite a proposition [Leibniz]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
The mind conceptualizes objects; yet objects impinge upon the mind [Wiggins]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
We can use 'concept' for the reference, and 'conception' for sense [Wiggins]
19. Language / C. Assigning Meanings / 3. Predicates
Only what can be said of many things is a predicable [Aristotle, by Wedin]
Some predicates signify qualification of a substance, others the substance itself [Aristotle]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
Beauty increases with familiarity [Leibniz]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
Happiness is advancement towards perfection [Leibniz]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
I think the corpuscular theory, rather than forms or qualities, best explains particular phenomena [Leibniz]
26. Natural Theory / B. Natural Kinds / 3. Knowing Kinds
Lawlike propensities are enough to individuate natural kinds [Wiggins]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Each possible world contains its own laws, reflected in the possible individuals of that world [Leibniz]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
It is not possible for fire to be cold or snow black [Aristotle]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
Motion alone is relative, but force is real, and establishes its subject [Leibniz]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / d. Entropy
Change goes from possession to loss (as in baldness), but not the other way round [Aristotle]
28. God / B. Proving God / 3. Proofs of Evidence / e. Miracles
Everything, even miracles, belongs to order [Leibniz]
Miracles are extraordinary operations by God, but are nevertheless part of his design [Leibniz]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Immortality without memory is useless [Leibniz]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
The soul is indestructible and always self-aware [Leibniz]
29. Religion / D. Religious Issues / 2. Immortality / c. Animal Souls
Animals have souls, but lack consciousness [Leibniz]