Combining Philosophers

All the ideas for Archimedes, Jos Ortega y Gassett and Hermann von Helmholtz

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5 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

13007	Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
	Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
	From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
	A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.

7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)

20752	For man, being is not what he is, but what he is going to be [Ortega y Gassett]
	Full Idea: Being consists not in what it is already, but in what it is not yet, a being that consists in not-yet-being. Everything else in the world is what it is….Man is the entity that makes himself….He has to determine what he is going to be.
	From: José Ortega y Gassett (Toward a Philosophy of History [1941], p.112,201-2), quoted by Kevin Aho - Existentialism: an introduction 4 'Problem'
	A reaction: [p.112 and 201-2] This seems to be Ortega y Gasset's spin on Heidegger's concept, by adding a temporal dimension to it.

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature

20756	Instead of having a nature, man only has a history [Ortega y Gassett]
	Full Idea: Man lives in view of the past. Man, in a word, has no nature; what he has is history. Expressed differently: what nature is to things, history is to man.
	From: José Ortega y Gassett (Toward a Philosophy of History [1941], p.217), quoted by Kevin Aho - Existentialism: an introduction 5 'Situated'
	A reaction: Makes explicit the existentialist denial of human nature. The foundation of ethics can only be total freedom, to choose both yourself and your actions. What is inescapable is the social and culture contexts. What is the role of the 'history'?

27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy

20646	Helmholtz used 'energy' to mathematically link heat, light, electricity and magnetism [Helmholtz, by Watson]
	Full Idea: Helmholtz provided the requisite mathematical formulation linking heat, light, electricity and magnetism, by treating these phenomena as different manifestations of 'energy'.
	From: report of Hermann von Helmholtz (On the Conservation of Force [1847]) by Peter Watson - Convergence 01 'Human'
	A reaction: I'm increasingly struck by the neglect by philosophers of nature of these amazing developments in 19th century physics, because they prefer the excitement of the latest nuclear physics. There is more philosophical interest in the earlier stages.

27. Natural Reality / A. Classical Physics / 2. Thermodynamics / c. Conservation of energy

20973	All forces conserve the sum of kinetic and potential energy [Helmholtz, by Papineau]
	Full Idea: Helmholtz crucially asserted that all forces conserve the sum of kinetic and potential energy; superficially non-conservative forces like friction are simply macroscopic manifestations of more fundamental forces conserving energy at the micro-level.
	From: report of Hermann von Helmholtz (On the Conservation of Force [1847]) by David Papineau - Thinking about Consciousness App 4.3
	A reaction: Friction had been a problem case, because it appeared not to conserve energy when it slowed movement down.