3 ideas
20110 | Hegel, Fichte and Schelling wanted to know Kant's thing-in-itself, as ego, or nature, or spirit [Safranski] |
Full Idea: The 'thing in iself' acted on Kant's successors like a hole in the closed world of knowledge...Hegel, Fichte and Schelling wanted to penetrate into what they presumed to be the heart of things, by the invention of means of 'ego', or 'nature', or 'spirit., | |
From: Rüdiger Safranski (Nietzsche: a philosophical biography [2000], 07) | |
A reaction: [a bit compressed] Although no scientist claims to know the ultimate essence of matter, the authority of science largely comes from persuasively moving us several steps closer to the thing in itself (more persuasively than these three). |
10855 | Actual infinities are not allowed in mathematics - only limits which may increase without bound [Gauss] |
Full Idea: I protest against the use of an infinite quantity as an actual entity; this is never allowed in mathematics. The infinite is only a manner of speaking, in which one properly speaks of limits ...which are permitted to increase without bound. | |
From: Carl Friedrich Gauss (Letter to Shumacher [1831]), quoted by Brian Clegg - Infinity: Quest to Think the Unthinkable Ch.7 |
15710 | Bohr explained the periodic table and chemical properties of elements, using the quantum atom [Kumar] |
Full Idea: Bohr used the quantum atom to explain the periodic table and the chemical properties of the elements. ...It was his new theory about the arrangement of electrons inside atoms that explained the placing and grouping of elements in the periodic table. | |
From: Manjit Kumar (Quantum: Einstein and Bohr [2008], Ch 04) | |
A reaction: (second sentence p.133) This is Exhibit A for the idea that essences are explanatory, and are discovered by scientists. The moot point would be whether it is appropriate to describe electron shells as part of the 'essence' of an atom. |