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27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion

[basic principles constraining all movement]

10 ideas
If something is pushed, it pushes back [Aristotle]
     Full Idea: What has pushed something else makes the latter push as well.
     From: Aristotle (De Anima [c.329 BCE], 435b30)
     A reaction: Aristotle seems to have spotted that this is intrinsic to massive bodies, and is not just friction etc. Newton adds a vector to Aristotle's insight.
Galileo mathematised movement, and revealed its invariable component - acceleration [Galileo, by Meillassoux]
     Full Idea: Galileo conceives of movement in mathematical terms. ...In doing so, he uncovered, beyond the variations of position and speed, the mathematical invariant of movement - that is to say, acceleration.
     From: report of Galileo Galilei (Two Chief World Systems [1632]) by Quentin Meillassoux - After Finitude; the necessity of contingency 5
     A reaction: That is a very nice advert for the mathematical physics which replaced the Aristotelian substantial forms. ...And yet, is acceleration some deep fact about nature, or a concept which is only needed if you insist on being mathematical?
Descartes said there was conservation of 'quantity of motion' [Descartes, by Papineau]
     Full Idea: Descartes incorporated the conservation of what he called 'quantity of motion', by which he meant mass times speed.
     From: report of René Descartes (The World [1631]) by David Papineau - Thinking about Consciousness App 2
     A reaction: Mass times velocity is now called 'momentum'. Is this the first ever conservation law? There are now lots of them.
Inertia rejects the Aristotelian idea of things having natural states, to which they return [Newton, by Alexander,P]
     Full Idea: Newton's principle of inertia implies a rejection of the Aristotelian idea of natural states to which things naturally return.
     From: report of Isaac Newton (Principia Mathematica [1687]) by Peter Alexander - Ideas, Qualities and Corpuscles 02.3
     A reaction: I think we can safely say that Aristotle was wrong about this. Aristotle made too much (such as the gravity acting on a thing) intrinsic to the bodies, when the whole context must be seen.
Newton's Third Law implies the conservation of momentum [Newton, by Papineau]
     Full Idea: Newton's Third Law implies the conservation of momentum, because 'action and reaction' are always equal.
     From: report of Isaac Newton (Principia Mathematica [1687]) by David Papineau - Thinking about Consciousness App 3
     A reaction: That is, the Third Law implies the First Law (which is the Law of Momentum).
1: Bodies rest, or move in straight lines, unless acted on by forces [Newton]
     Full Idea: Law 1: Every body perseveres in its state of being at rest or of moving uniformly straight forward, except insofar as it is compelled to change its state by forces impressed.
     From: Isaac Newton (Principia Mathematica [1687], Axioms)
     A reaction: This is the new concept of inertia, which revolutionises the picture. Motion itself, which was a profound puzzle for the Greeks, ceases to be a problem by being axiomatised. It is now acceleration which is the the problem.
2: Change of motion is proportional to the force [Newton]
     Full Idea: Law 2: A change in motion is proportional to the motive force impressed and takes place along the straight line in which that force is impressed.
     From: Isaac Newton (Principia Mathematica [1687], Axioms)
     A reaction: This gives the equation 'force = mass x acceleration', where the mass is the constant needed for the equation of proportion. Effectively mass is just the value of a proportion.
3: All actions of bodies have an equal and opposite reaction [Newton]
     Full Idea: Law 3: To any action there is always an opposite and equal reaction; in other words, the action of two bodies upon each other are always equal and always opposite in direction.
     From: Isaac Newton (Principia Mathematica [1687], Axioms)
     A reaction: Is this still true if one body is dented by the impact and the other one isn't? What counts as a 'body'?
Galileo refuted the Aristotelian theory that heavier objects fall faster [Okasha]
     Full Idea: Galileo's most enduring contribution lay in mechanics, where he refuted the Aristotelian theory that heavier bodies fall faster than lighter.
     From: Samir Okasha (Philosophy of Science: Very Short Intro (2nd ed) [2016], 2)
     A reaction: This must the first idea in the theory of mechanics, allowing mathematical treatment and accurate comparisons.
In modern physics the first and second laws of motion (unlike the third) fail at extremes [Ingthorsson]
     Full Idea: While the first and second laws of motion are known to fail in the domain of very fast-moving and massive objects (i.e. where relativity deviates from classical mechanics) as well as in the quantum realm, the third law is still assumed to hold good.
     From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 4.04)
     A reaction: This implies a universal status for the third law (equal and opposite reactions), which the other two lack. Ingthorsson sees this as crucial for our understanding of causation.