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168 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 / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Like disastrous small errors in navigation, small misunderstandings can wreck intellectual life [Harré/Madden]
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]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Philosophy devises and assesses conceptual schemes in the service of worldviews [Harré/Madden]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
Analysis of concepts based neither on formalism nor psychology can arise from examining what we know [Harré/Madden]
1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
Humeans see analysis in terms of formal logic, because necessities are fundamentally logical relations [Harré/Madden]
1. Philosophy / G. Scientific Philosophy / 2. Positivism
Positivism says science only refers to immediate experiences [Harré/Madden]
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 / D. Definition / 1. Definitions
Logically, definitions have a subject, and a set of necessary predicates [Harré/Madden]
2. Reason / D. Definition / 2. Aims of Definition
A correct definition is what can be substituted without loss of meaning [Ducasse]
2. Reason / E. Argument / 6. Conclusive Proof
Leibniz is inclined to regard all truths as provable [Leibniz, by Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Points can be 'dense' by unending division, but must meet a tougher criterion to be 'continuous' [Harré/Madden]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
Points are 'continuous' if any 'cut' point participates in both halves of the cut [Harré/Madden]
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
A tangent is a line connecting two points on a curve that are infinitely close together [Leibniz]
Nature uses the infinite everywhere [Leibniz]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / e. Psychologism
There is not an exclusive dichotomy between the formal and the logical [Harré/Madden]
7. Existence / B. Change in Existence / 1. Nature of Change
Humeans can only explain change with continuity as successive replacement [Harré/Madden]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
Humeans construct their objects from events, but we construct events from objects [Harré/Madden]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
The induction problem fades if you work with things, rather than with events [Harré/Madden]
7. Existence / C. Structure of Existence / 6. Fundamentals / a. Fundamental reality
Fundamental particulars can't change [Harré/Madden]
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 / C. Structure of Existence / 8. Stuff / a. Pure stuff
Hard individual blocks don't fix what 'things' are; fluids are no less material things [Harré/Madden]
7. Existence / C. Structure of Existence / 8. Stuff / b. Mixtures
Magnetic and gravity fields can occupy the same place without merging [Harré/Madden]
7. Existence / D. Theories of Reality / 6. Physicalism
Gravitational and electrical fields are, for a materialist, distressingly empty of material [Harré/Madden]
7. Existence / D. Theories of Reality / 9. States of Affairs
Events are changes in states of affairs (which consist of structured particulars, with powers and relations) [Harré/Madden]
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 / B. Properties / 5. Natural Properties
Humeans see predicates as independent, but science says they are connected [Harré/Madden]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Energy was introduced to physics to refer to the 'store of potency' of a moving ball [Harré/Madden]
Some powers need a stimulus, but others are just released [Harré/Madden]
Some powers are variable, others cannot change (without destroying an identity) [Harré/Madden]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Scientists define copper almost entirely (bar atomic number) in terms of its dispositions [Harré/Madden]
We explain powers by the natures of things, but explanations end in inexplicable powers [Harré/Madden]
Maybe a physical field qualifies as ultimate, if its nature is identical with its powers [Harré/Madden]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Powers are not qualities; they just point to directions of empirical investigation [Harré/Madden]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
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 / C. Powers and Dispositions / 6. Dispositions / d. Dispositions as occurrent
What is a field of potentials, if it only consists of possible events? [Harré/Madden]
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 / A. Existence of Objects / 6. Nihilism about Objects
The good criticism of substance by Humeans also loses them the vital concept of a thing [Harré/Madden]
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 / 2. Substance / e. Substance critique
We can escape substance and its properties, if we take fields of pure powers as ultimate [Harré/Madden]
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 / C. Structure of Objects / 3. Matter of an Object
The assumption that shape and solidity are fundamental implies dubious 'substance' in bodies [Harré/Madden]
9. Objects / C. Structure of Objects / 7. Substratum
The notorious substratum results from substance-with-qualities; individuals-with-powers solves this [Harré/Madden]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
In logic the nature of a kind, substance or individual is the essence which is inseparable from what it is [Harré/Madden]
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]
We can infer a new property of a thing from its other properties, via its essential nature [Harré/Madden]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Leibniz was not an essentialist [Leibniz, by Wiggins]
We say the essence of particles is energy, but only so we can tell a story about the nature of things [Harré/Madden]
9. Objects / E. Objects over Time / 2. Objects that Change
To say something remains the same but lacks its capacities and powers seems a contradiction [Harré/Madden]
Some individuals can gain or lose capacities or powers, without losing their identity [Harré/Madden]
A particular might change all of its characteristics, retaining mere numerical identity [Harré/Madden]
9. Objects / E. Objects over Time / 3. Three-Dimensionalism
'Dense' time raises doubts about continuous objects, so they need 'continuous' time [Harré/Madden]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
If things are successive instantaneous events, nothing requires those events to resemble one another [Harré/Madden]
9. Objects / E. Objects over Time / 8. Continuity of Rivers
Humeans cannot step in the same river twice, because they cannot strictly form the concept of 'river' [Harré/Madden]
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]
What reduces the field of the possible is a step towards necessity [Harré/Madden]
10. Modality / A. Necessity / 3. Types of Necessity
There is 'absolute' necessity (implied by all propositions) and 'relative' necessity (from what is given) [Harré/Madden]
10. Modality / A. Necessity / 6. Logical Necessity
Logical necessity is grounded in the logical form of a statement [Harré/Madden]
10. Modality / A. Necessity / 7. Natural Necessity
Natural necessity is not logical necessity or empirical contingency in disguise [Harré/Madden]
The relation between what a thing is and what it can do or undergo relate by natural necessity [Harré/Madden]
A necessity corresponds to the nature of the actual [Harré/Madden]
Natural necessity is when powerful particulars must produce certain results in a situation [Harré/Madden]
People doubt science because if it isn't logically necessary it seems to be absolutely contingent [Harré/Madden]
Property or event relations are naturally necessary if generated by essential mechanisms [Harré/Madden]
10. Modality / A. Necessity / 8. Transcendental Necessity
Transcendental necessity is conditions of a world required for a rational being to know its nature [Harré/Madden]
There is a transcendental necessity for each logical necessity, but the transcendental extends further [Harré/Madden]
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 / B. Possibility / 9. Counterfactuals
Counterfactuals are just right for analysing statements about the powers which things have [Harré/Madden]
10. Modality / C. Sources of Modality / 3. Necessity by Convention
If natural necessity is used to include or exclude some predicate, the predicate is conceptually necessary [Harré/Madden]
Having a child is contingent for a 'man', necessary for a 'father'; the latter reflects a necessity of nature [Harré/Madden]
10. Modality / C. Sources of Modality / 4. Necessity from Concepts
Is conceptual necessity just conventional, or does it mirror something about nature? [Harré/Madden]
There is a conceptual necessity when properties become a standard part of a nominal essence [Harré/Madden]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
Necessity and contingency are separate from the a priori and the a posteriori [Harré/Madden]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
If Goldbach's Conjecture is true (and logically necessary), we may be able to conceive its opposite [Harré/Madden]
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 / 2. Understanding
For Leibniz, divine understanding grasps every conceivable possibility [Leibniz, by Perkins]
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
It is silly to say that direct experience must be justified, either by reason, or by more experience [Harré/Madden]
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]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
We experience qualities as of objects, not on their own [Harré/Madden]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
Inference in perception is unconvincingly defended as non-conscious and almost instantaneous [Harré/Madden]
12. Knowledge Sources / D. Empiricism / 2. Associationism
Humean impressions are too instantaneous and simple to have structure or relations [Harré/Madden]
14. Science / B. Scientific Theories / 1. Scientific Theory
Clavius's Paradox: purely syntactic entailment theories won't explain, because they are too profuse [Harré/Madden]
Simplicity can sort theories out, but still leaves an infinity of possibilities [Harré/Madden]
The powers/natures approach has been so successful (for electricity, magnetism, gravity) it may be universal [Harré/Madden]
14. Science / B. Scientific Theories / 2. Aim of Science
We prefer the theory which explains and predicts the powers and capacities of particulars [Harré/Madden]
Science investigates the nature and constitution of things or substances [Harré/Madden]
14. Science / C. Induction / 3. Limits of Induction
Conjunctions explain nothing, and so do not give a reason for confidence in inductions [Harré/Madden]
Hume's atomic events makes properties independent, and leads to problems with induction [Harré/Madden]
14. Science / C. Induction / 5. Paradoxes of Induction / b. Raven paradox
Contraposition may be equivalent in truth, but not true in nature, because of irrelevant predicates [Harré/Madden]
The items put forward by the contraposition belong within different natural clusters [Harré/Madden]
The possibility that all ravens are black is a law depends on a mechanism producing the blackness [Harré/Madden]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Only changes require explanation [Harré/Madden]
14. Science / D. Explanation / 1. Explanation / c. Direction of explanation
If explanation is by entailment, that lacks a causal direction, unlike natural necessity [Harré/Madden]
Powers can explain the direction of causality, and make it a natural necessity [Harré/Madden]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
If the nature of particulars explains their powers, it also explains their relations and behaviour [Harré/Madden]
Powers and natures lead us to hypothesise underlying mechanisms, which may be real [Harré/Madden]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Solidity comes from the power of repulsion, and shape from the power of attraction [Harré/Madden]
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]
Essence explains passive capacities as well as active powers [Harré/Madden]
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]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
The very concepts of a particular power or nature imply the possibility of being generalised [Harré/Madden]
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 / C. Content / 5. Twin Earth
What properties a thing must have to be a type of substance can be laid down a priori [Harré/Madden]
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]
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 / F. Communication / 5. Pragmatics / a. Contextual meaning
We say there is 'no alternative' in all sorts of contexts, and there are many different grounds for it [Harré/Madden]
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 / B. Natural Kinds / 6. Necessity of Kinds
We can base the idea of a natural kind on the mechanisms that produce natural necessity [Harré/Madden]
26. Natural Theory / B. Natural Kinds / 7. Critique of Kinds
Species do not have enough constancy to be natural kinds [Harré/Madden]
26. Natural Theory / C. Causation / 2. Types of cause
Causation is defined in terms of a single sequence, and constant conjunction is no part of it [Ducasse]
If the concept of a cause includes its usual effects, we call it a 'power' [Harré/Madden]
26. Natural Theory / C. Causation / 5. Direction of causation
Humean accounts of causal direction by time fail, because cause and effect can occur together [Harré/Madden]
26. Natural Theory / C. Causation / 6. Causation as primitive
Active causal power is just objects at work, not something existing in itself [Harré/Madden]
26. Natural Theory / C. Causation / 8. Particular Causation / a. Observation of causation
We see what is in common between causes to assign names to them, not to perceive them [Ducasse]
Causation always involves particular productive things [Harré/Madden]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
Causes are either sufficient, or necessary, or necessitated, or contingent upon [Ducasse]
When a brick and a canary-song hit a window, we ignore the canary if we are interested in the breakage [Ducasse]
Efficient causes combine stimulus to individuals, absence of contraints on activity [Harré/Madden]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
A cause is a change which occurs close to the effect and just before it [Ducasse]
The cause (or part of it) is what stimulates or releases the powerful particular thing involved [Harré/Madden]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Recurrence is only relevant to the meaning of law, not to the meaning of cause [Ducasse]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
We are interested in generalising about causes and effects purely for practical purposes [Ducasse]
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
Originally Humeans based lawlike statements on pure qualities, without particulars [Harré/Madden]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
Being lawlike seems to resist formal analysis, because there are always counter-examples [Harré/Madden]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
Necessary effects will follow from some general theory specifying powers and structure of a world [Harré/Madden]
Humeans say there is no necessity in causation, because denying an effect is never self-contradictory [Harré/Madden]
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]
In lawful universal statements (unlike accidental ones) we see why the regularity holds [Harré/Madden]
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]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
We could call any generalisation a law, if it had reasonable support and no counter-evidence [Harré/Madden]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
We perceive motion, and not just successive occupations of different positions [Harré/Madden]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
Leibniz uses 'force' to mean both activity and potential [Leibniz]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy
'Energy' is a quasi-substance invented as the bearer of change during interactions [Harré/Madden]
'Kinetic energy' is used to explain the effects of moving things when they are stopped [Harré/Madden]
27. Natural Reality / C. Space / 2. Space
Space can't be an individual (in space), but it is present in all places [Harré/Madden]
27. Natural Reality / F. Chemistry / 1. Chemistry
Chemical atoms have two powers: to enter certain combinations, and to emit a particular spectrum [Harré/Madden]
Chemistry is not purely structural; CO2 is not the same as SO2 [Harré/Madden]
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]
Theism is supposed to make the world more intelligible - and should offer results [Harré/Madden]