15 ideas
13163 | Circles must be bounded, so cannot be infinite [Leibniz] |
Full Idea: An infinite circle is impossible, since any circle is bounded by its circumference. | |
From: Gottfried Leibniz (Dialogue on human freedom and origin of evil [1695], p.114) | |
A reaction: This is interesting if one is asking what the essence of a circle must be. If is tempting to say merely that the radii must be equal, but can they have the length of some vast transfinite number? The circumference must be 2π bigger. |
7621 | Special relativity, unlike general relativity, was operationalist in spirit [Putnam on Einstein] |
Full Idea: Einstein's interpretation of special relativity was operationalist in spirit (in marked contrast to the interpretation he gave to general relativity). | |
From: comment on Albert Einstein (works [1915]) by Hilary Putnam - Reason, Truth and History Ch.5 | |
A reaction: The late twentieth century was polluted with daft relativism, and I hold Einstein partly responsible, suspecting that he was a bad philosopher. The later development of Einstein's view noted here is interesting. |
13162 | Sloth's Syllogism: either it can't happen, or it is inevitable without my effort [Leibniz] |
Full Idea: The ancient Sloth's Syllogism says that if something is foreseen and infallible, it will happen without my effort, and if it is not foreseen, it will not happen, even though I am able to do it. | |
From: Gottfried Leibniz (Dialogue on human freedom and origin of evil [1695], p.113) | |
A reaction: Presumable the foreseeing is to be done by the oracle, and not by the slothful person. |
7810 | The 'Eumenides' of Aeschylus shows blood feuds replaced by law [Aeschylus, by Grayling] |
Full Idea: The 'Eumenides' of Aeschylus tells how the old rule of revenge and blood feud was replaced by a due process of law before a civil jury. | |
From: report of Aeschylus (The Eumenides [c.458 BCE]) by A.C. Grayling - What is Good? Ch.2 | |
A reaction: Compare Idea 1659, where this revolution is attributed to Protagoras (a little later than Aeschylus). I take the rule of law and of society to be above all the rule of reason, because the aim is calm objectivity instead of emotion. |
22955 | Einstein took causation to be the bedrock of physics [Einstein, by Coveney/Highfield] |
Full Idea: It is difficult to overplay Einstein's commitment to the concept of causality as the bedrock of physics. | |
From: report of Albert Einstein (works [1915]) by P Coveney / R Highfield - The Arrow of Time 3 'problem' | |
A reaction: I normally avoid arguments from authority, but this carries a bit of weight (e.g. when Russell tries to oppose it). What happens to Einstein's theories if you remove causation from them? |
20638 | General relativity assumes laws of nature are the same in all frames of reference [Einstein, by Close] |
Full Idea: Einstein came to general relativity from the principles that the laws of nature are the same in all frames of reference. | |
From: report of Albert Einstein (works [1915]) by Frank Close - Theories of Everything 5 'Cosmological' | |
A reaction: I wish physicists would tell us a bit more about the ontological status of the 'laws of nature'. Presumably they are not supernatural, so there is an aspect of nature which is constant in all frames of reference. Explanation please. |
20636 | Newton is a special case of Einstein's general theory, with an infinite speed of light [Einstein, by Close] |
Full Idea: Einstein's general relativity included Newton's theory as a special case: Newton's theory corresponds to the speed of light being infinite relative to the speed of the interacting bodies. | |
From: report of Albert Einstein (works [1915]) by Frank Close - Theories of Everything 5 'Gravity' | |
A reaction: So Newton's theory was NOT wrong, but he made the false assumption that the speed of light was infinite. |
21230 | The theory is 'special' because it sticks to observers moving straight, at constant speeds [Einstein, by Farmelo] |
Full Idea: Einstein's first theory is 'special' because it only deals with observers who move in a straight line at constant speeds with respect to one another. | |
From: report of Albert Einstein (works [1915]) by Graham Farmelo - The Strangest Man 03 | |
A reaction: Most theories of this period seem to have focused on the simplest cases, for obvious reasons. |
21231 | Assume the speed of light is constant for all observers, and the laws of physics are the same [Einstein, by Farmelo] |
Full Idea: Einstein assumed that when each observer measures the speed of light in a vacuum, they find the same value, regardless of their speed; and that measurements will lead to agreement on the laws of physics. | |
From: report of Albert Einstein (works [1915]) by Graham Farmelo - The Strangest Man 03 | |
A reaction: So are the laws of physics constant for all observers, irrespective of their speed? |
20634 | General Relativity says there is no absolute force or acceleration [Einstein, by Close] |
Full Idea: Einstein's General Theory arose from the idea that there is no absolute measure of force and acceleration. | |
From: report of Albert Einstein (works [1915]) by Frank Close - Theories of Everything 5 'Gravity' | |
A reaction: If absolutely everything is only true relative to something else you wonder what the point of measuring anything is. How big can a 'frame of reference' or 'inertial frame' be. Is the multiverse a frame of reference? |
20648 | Mass is a measure of energy content [Einstein] |
Full Idea: The mass of a body is the measure of its energy content. | |
From: Albert Einstein (works [1915]), quoted by Peter Watson - Convergence 04 'Intro' | |
A reaction: If I knew what energy was, this would be very illuminating. This idea is e=mc^2 in words. We now have the Higgs field to consider when trying to understand mass. |
21232 | Space-time arises from the connection between measurements of space and of time [Einstein, by Farmelo] |
Full Idea: Einstein noted that the measurements of space and time are not independent but inextricably linked, leading to the idea of unified space-time (introduced by his former teacher Minkowski). | |
From: report of Albert Einstein (works [1915]) by Graham Farmelo - The Strangest Man 03 | |
A reaction: Notice the instrumentalist assumptions behind this. |
7626 | I do not believe in a personal God [Einstein] |
Full Idea: I do not believe in a personal God and I have never denied this but have expressed it clearly. | |
From: Albert Einstein (works [1915]), quoted by Richard Dawkins - The God Delusion Ch.1.15 | |
A reaction: This is an important corrective to those who claim Einstein as religious, on the basis of remarks about God not playing dice etc. See the whole of Dawkins's chapter on Einstein for full discussion. |
19339 | Evil is a negation of good, which arises from non-being [Leibniz] |
Full Idea: The cause of good is positive, but evil is a defect, that is, a privation or negation, and consequently, it arises from nothingness or nonbeing. | |
From: Gottfried Leibniz (Dialogue on human freedom and origin of evil [1695], p.114) | |
A reaction: He goes on to illustrate his idea from mathematics. He is modifying Augustine's view that evil is an absence of good, by adding nonbeing as the driving force behind it. Doesn't sound very persuasive to me. |
13164 | God only made sin possible because a much greater good can be derived from it [Leibniz] |
Full Idea: We must believe that God would not have allowed sin nor would he have created things he knows will sin, if he could not derive from them a good incomparably greater than the resulting evil. | |
From: Gottfried Leibniz (Dialogue on human freedom and origin of evil [1695], p.115) | |
A reaction: Why 'must' we believe this? Do we have to imagine all the genocides shrinking to insignificance once we grasp the wonderful goods that can be derived from them? The end justifies the means. Genocide is actually a good thing. Hm. |