Combining Philosophers

All the ideas for Archimedes, Isaac Newton and S.Mumford/R.Lill Anjum

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98 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy must abstract from the senses [Newton]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Newton developed a kinematic approach to geometry [Newton, by Kitcher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
We can talk of 'innumerable number', about the infinite points on a line [Newton]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Not all infinites are equal [Newton]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
Quantities and ratios which continually converge will eventually become equal [Newton]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
A number is not a multitude, but a unified ratio between quantities [Newton]
7. Existence / B. Change in Existence / 2. Processes
A process is unified as an expression of a collection of causal powers [Mumford/Anjum]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Events are essentially changes; property exemplifications are just states of affairs [Mumford/Anjum]
8. Modes of Existence / B. Properties / 7. Emergent Properties
Weak emergence is just unexpected, and strong emergence is beyond all deduction [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Powers explain properties, causes, modality, events, and perhaps even particulars [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
I suspect that each particle of bodies has attractive or repelling forces [Newton]
Powers offer no more explanation of nature than laws do [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Powers are not just basic forces, since they combine to make new powers [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Dispositionality is a natural selection function, picking outcomes from the range of possibilities [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
We say 'power' and 'disposition' are equivalent, but some say dispositions are manifestable [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
The simple conditional analysis of dispositions doesn't allow for possible prevention [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
Might dispositions be reduced to normativity, or to intentionality? [Mumford/Anjum]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
Particles mutually attract, and cohere at short distances [Newton]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
If statue and clay fall and crush someone, the event is not overdetermined [Mumford/Anjum]
9. Objects / C. Structure of Objects / 1. Structure of an Object
Pandispositionalists say structures are clusters of causal powers [Mumford/Anjum]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
The place of a thing is the sum of the places of its parts [Newton]
9. Objects / E. Objects over Time / 5. Temporal Parts
Perdurantism imposes no order on temporal parts, so sequences of events are contingent [Mumford/Anjum]
10. Modality / A. Necessity / 1. Types of Modality
Dispositionality has its own distinctive type of modality [Mumford/Anjum]
Dispositionality is the core modality, with possibility and necessity as its extreme cases [Mumford/Anjum]
Dispositions may suggest modality to us - as what might not have been, and what could have been [Mumford/Anjum]
10. Modality / A. Necessity / 7. Natural Necessity
Relations are naturally necessary when they are generated by the essential mechanisms of the world [Mumford/Anjum]
10. Modality / B. Possibility / 1. Possibility
Possibility might be non-contradiction, or recombinations of the actual, or truth in possible worlds [Mumford/Anjum]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Maybe truths are necessitated by the facts which are their truthmakers [Mumford/Anjum]
12. Knowledge Sources / B. Perception / 1. Perception
We have more than five senses; balance and proprioception, for example [Mumford/Anjum]
14. Science / A. Basis of Science / 6. Falsification
Smoking disposes towards cancer; smokers without cancer do not falsify this claim [Mumford/Anjum]
14. Science / B. Scientific Theories / 6. Theory Holism
If you changed one of Newton's concepts you would destroy his whole system [Heisenberg on Newton]
14. Science / C. Induction / 1. Induction
If causation were necessary, the past would fix the future, and induction would be simple [Mumford/Anjum]
The only full uniformities in nature occur from the essences of fundamental things [Mumford/Anjum]
Science deduces propositions from phenomena, and generalises them by induction [Newton]
14. Science / C. Induction / 3. Limits of Induction
Nature is not completely uniform, and some regular causes sometimes fail to produce their effects [Mumford/Anjum]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
It is tempting to think that only entailment provides a full explanation [Mumford/Anjum]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
We should admit only enough causes to explain a phenomenon, and no more [Newton]
Natural effects of the same kind should be assumed to have the same causes [Newton]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
A structure won't give a causal explanation unless we know the powers of the structure [Mumford/Anjum]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
From the phenomena, I can't deduce the reason for the properties of gravity [Newton]
17. Mind and Body / D. Property Dualism / 4. Emergentism
Strong emergence seems to imply top-down causation, originating in consciousness [Mumford/Anjum]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
Newton's four fundamentals are: space, time, matter and force [Newton, by Russell]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter
Mass is central to matter [Newton, by Hart,WD]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / b. Corpuscles
An attraction of a body is the sum of the forces of their particles [Newton]
26. Natural Theory / C. Causation / 1. Causation
Newtonian causation is changes of motion resulting from collisions [Newton, by Baron/Miller]
Causation by absence is not real causation, but part of our explanatory practices [Mumford/Anjum]
Causation may not be transitive. Does a fire cause itself to be extinguished by the sprinklers? [Mumford/Anjum]
26. Natural Theory / C. Causation / 4. Naturalised causation
Causation is the passing around of powers [Mumford/Anjum]
26. Natural Theory / C. Causation / 6. Causation as primitive
We take causation to be primitive, as it is hard to see how it could be further reduced [Mumford/Anjum]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Causation doesn't have two distinct relata; it is a single unfolding process [Mumford/Anjum]
A collision is a process, which involves simultaneous happenings, but not instantaneous ones [Mumford/Anjum]
Does causation need a third tying ingredient, or just two that meet, or might there be a single process? [Mumford/Anjum]
Sugar dissolving is a process taking time, not one event and then another [Mumford/Anjum]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
Privileging one cause is just an epistemic or pragmatic matter, not an ontological one [Mumford/Anjum]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Coincidence is conjunction without causation; smoking causing cancer is the reverse [Mumford/Anjum]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Occasionally a cause makes no difference (pre-emption, perhaps) so the counterfactual is false [Mumford/Anjum]
Is a cause because of counterfactual dependence, or is the dependence because there is a cause? [Mumford/Anjum]
Cases of preventing a prevention may give counterfactual dependence without causation [Mumford/Anjum]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
Nature can be interfered with, so a cause never necessitates its effects [Mumford/Anjum]
We assert causes without asserting that they necessitate their effects [Mumford/Anjum]
Necessary causation should survive antecedent strengthening, but no cause can always survive that [Mumford/Anjum]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
The principles of my treatise are designed to fit with a belief in God [Newton]
Principles of things are not hidden features of forms, but the laws by which they were formed [Newton]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
I do not pretend to know the cause of gravity [Newton]
26. Natural Theory / D. Laws of Nature / 6. Laws as Numerical
You have discovered that elliptical orbits result just from gravitation and planetary movement [Newton, by Leibniz]
We have given up substantial forms, and now aim for mathematical laws [Newton]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
A 'ceteris paribus' clause implies that a conditional only has dispositional force [Mumford/Anjum]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
There may be necessitation in the world, but causation does not supply it [Mumford/Anjum]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
I won't object if someone shows that gravity consistently arises from the action of matter [Newton]
I am not saying gravity is essential to bodies [Newton]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
The motions of the planets could only derive from an intelligent agent [Newton]
That gravity should be innate and essential to matter is absurd [Newton]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
Laws are nothing more than descriptions of the behaviour of powers [Mumford/Anjum]
If laws are equations, cause and effect must be simultaneous (or the law would be falsified)! [Mumford/Anjum]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
Newton reclassified vertical motion as violent, and unconstrained horizontal motion as natural [Newton, by Harré]
27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion
Inertia rejects the Aristotelian idea of things having natural states, to which they return [Newton, by Alexander,P]
1: Bodies rest, or move in straight lines, unless acted on by forces [Newton]
2: Change of motion is proportional to the force [Newton]
3: All actions of bodies have an equal and opposite reaction [Newton]
Newton's Third Law implies the conservation of momentum [Newton, by Papineau]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
Newton's idea of force acting over a long distance was very strange [Heisenberg on Newton]
Newton introduced forces other than by contact [Newton, by Papineau]
Newton's laws cover the effects of forces, but not their causes [Newton, by Papineau]
Newton's forces were accused of being the scholastics' real qualities [Pasnau on Newton]
I am studying the quantities and mathematics of forces, not their species or qualities [Newton]
The aim is to discover forces from motions, and use forces to demonstrate other phenomena [Newton]
27. Natural Reality / A. Classical Physics / 1. Mechanics / d. Gravity
Newton showed that falling to earth and orbiting the sun are essentially the same [Newton, by Ellis]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / c. Conservation of energy
Early Newtonians could not formulate conservation of energy, having no concept of potential energy [Newton, by Papineau]
27. Natural Reality / C. Space / 4. Substantival Space
Absolute space is independent, homogeneous and immovable [Newton]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
Newton needs intervals of time, to define velocity and acceleration [Newton, by Le Poidevin]
Newton thought his laws of motion needed absolute time [Newton, by Bardon]
Time exists independently, and flows uniformly [Newton]
Absolute time, from its own nature, flows equably, without relation to anything external [Newton]
27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow
Newtonian mechanics does not distinguish negative from positive values of time [Newton, by Coveney/Highfield]
27. Natural Reality / D. Time / 3. Parts of Time / d. Measuring time
If there is no uniform motion, we cannot exactly measure time [Newton]
28. God / A. Divine Nature / 3. Divine Perfections
If a perfect being does not rule the cosmos, it is not God [Newton]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
The elegance of the solar system requires a powerful intellect as designer [Newton]