Combining Philosophers

All the ideas for Isaac Newton, Rowland Stout and Bernard Bolzano

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95 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy must abstract from the senses [Newton]
2. Reason / B. Laws of Thought / 1. Laws of Thought
The laws of thought are true, but they are not the axioms of logic [Bolzano, by George/Van Evra]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
An aggregate in which order does not matter I call a 'set' [Bolzano]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Newton developed a kinematic approach to geometry [Newton, by Kitcher]
Bolzano wanted to reduce all of geometry to arithmetic [Bolzano, by Brown,JR]
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]
A truly infinite quantity does not need to be a variable [Bolzano]
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 / 5. Definitions of Number / b. Greek arithmetic
A number is not a multitude, but a unified ratio between quantities [Newton]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Bolzano began the elimination of intuition, by proving something which seemed obvious [Bolzano, by Dummett]
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
Philosophical proofs in mathematics establish truths, and also show their grounds [Bolzano, by Correia/Schnieder]
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]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
Particles mutually attract, and cohere at short distances [Newton]
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]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Bolzano wanted to avoid Kantian intuitions, and prove everything that could be proved [Bolzano, by Dummett]
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
Science deduces propositions from phenomena, and generalises them by induction [Newton]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Evolutionary explanations look to the past or the group, not to the individual [Stout,R]
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]
Not all explanation is causal. We don't explain a painting's beauty, or the irrationality of root-2, that way [Stout,R]
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]
19. Language / D. Propositions / 1. Propositions
Bolzano saw propositions as objective entities, existing independently of us [Bolzano, by Potter]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Propositions are abstract structures of concepts, ready for judgement or assertion [Bolzano, by Correia/Schnieder]
A 'proposition' is the sense of a linguistic expression, and can be true or false [Bolzano]
19. Language / E. Analyticity / 2. Analytic Truths
The ground of a pure conceptual truth is only in other conceptual truths [Bolzano]
20. Action / A. Definition of Action / 1. Action Theory
Philosophy of action studies the nature of agency, and of deliberate actions [Stout,R]
Agency is causal processes that are sensitive to justification [Stout,R]
20. Action / A. Definition of Action / 2. Duration of an Action
Mental states and actions need to be separate, if one is to cause the other [Stout,R]
Are actions bodily movements, or a sequence of intention-movement-result? [Stout,R]
If one action leads to another, does it cause it, or is it part of it? [Stout,R]
20. Action / A. Definition of Action / 3. Actions and Events
I do actions, but not events, so actions are not events [Stout,R]
20. Action / A. Definition of Action / 4. Action as Movement
Bicycle riding is not just bodily movement - you also have to be on the bicycle [Stout,R]
20. Action / B. Preliminaries of Action / 1. Intention to Act / a. Nature of intentions
The rationalistic approach says actions are intentional when subject to justification [Stout,R]
The causal theory says that actions are intentional when intention (or belief-desire) causes the act [Stout,R]
Deciding what to do usually involves consulting the world, not our own minds [Stout,R]
Should we study intentions in their own right, or only as part of intentional action? [Stout,R]
You can have incompatible desires, but your intentions really ought to be consistent [Stout,R]
The normativity of intentions would be obvious if they were internal promises [Stout,R]
20. Action / B. Preliminaries of Action / 1. Intention to Act / b. Types of intention
Intentional agency is seen in internal precursors of action, and in external reasons for the act [Stout,R]
Speech needs sustained intentions, but not prior intentions [Stout,R]
20. Action / B. Preliminaries of Action / 1. Intention to Act / d. Group intentions
Bratman has to treat shared intentions as interrelated individual intentions [Stout,R]
A request to pass the salt shares an intention that the request be passed on [Stout,R]
An individual cannot express the intention that a group do something like moving a piano [Stout,R]
An intention is a goal to which behaviour is adapted, for an individual or for a group [Stout,R]
20. Action / B. Preliminaries of Action / 2. Willed Action / b. Volitionism
If the action of walking is just an act of will, then movement of the legs seems irrelevant [Stout,R]
20. Action / B. Preliminaries of Action / 2. Willed Action / c. Agent causation
Most philosophers see causation as by an event or state in the agent, rather than the whole agent [Stout,R]
If you don't mention an agent, you aren't talking about action [Stout,R]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
If you can judge one act as best, then do another, this supports an inward-looking view of agency [Stout,R]
20. Action / C. Motives for Action / 1. Acting on Desires
Maybe your emotions arise from you motivations, rather than being their cause [Stout,R]
For an ascetic a powerful desire for something is a reason not to implement it [Stout,R]
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
Beliefs, desires and intentions are not events, so can't figure in causal relations [Stout,R]
A standard view says that the explanation of an action is showing its rational justification [Stout,R]
In order to be causal, an agent's reasons must be internalised as psychological states [Stout,R]
20. Action / C. Motives for Action / 4. Responsibility for Actions
An action is only yours if you produce it, rather than some state or event within you [Stout,R]
There may be a justification relative to a person's view, and yet no absolute justification [Stout,R]
20. Action / C. Motives for Action / 5. Action Dilemmas / b. Double Effect
Describing a death as a side-effect rather than a goal may just be good public relations [Stout,R]
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]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Aristotelian causation involves potentiality inputs into processes (rather than a pair of events) [Stout,R]
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 / 8. Scientific Essentialism / c. Essence and laws
I am not saying gravity is essential to bodies [Newton]
I won't object if someone shows that gravity consistently arises from the action of matter [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]
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]