„Personally, people know themselves very poorly.“
— Ernst Mach
Contributions to the analysis of the sensations (1897), translated by Cora May Williams, published by Open Court Publishing Company, p. 4
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Ernst Mach
Geburtstag: 18. Februar 1838
Todesdatum: 19. Februar 1916
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Ernst Waldfried Josef Wenzel Mach war ein österreichischer Physiker, Sinnesphysiologe, Philosoph und Wissenschaftstheoretiker sowie ein Pionier der gerade entstehenden Wissenschaftsgeschichte. Nach Ernst Mach ist die Mach-Zahl benannt, welche die Geschwindigkeit im Verhältnis zur Schallgeschwindigkeit beschreibt.
Neben Problemen in der Physik und deren Lösungen beschäftigte er sich aber auch mit Fragen der Philosophie. Er gilt als einer der einflussreichsten Vertreter oder Mitbegründer des Empiriokritizismus. In der Sinnesphysiologie machte er wichtige Experimente zum Gleichgewichtssinn des Menschen, zu Reizschwellen und zu optischen Täuschungen . In der Psychologie wurde er ein Wegbereiter der Gestaltpsychologie bzw. Gestalttheorie.
Zitate Ernst Mach
„The aim of research is the discovery of the equations which subsist between the elements of phenomena.“
— Ernst Mach
p. 205; On aim of research.
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„I see the expression of... economy clearly in the gradual reduction of the statical laws of machines to a single one, viz., the principle of virtual work: in the replacement of Kepler's laws by Newton's single law... and in the [subsequent] reduction, simplification and clarification of the laws of dynamics. I see clearly the biological-economical adaptation of ideas, which takes place by the principles of continuity (permanence) and of adequate definition and splits the concept 'heat' into the two concepts of 'temperature' and 'quantity of heat'; and I see how the concept 'quantity of heat' leads on to 'latent heat', and to the concepts of 'energy' and 'entropy'.“
— Ernst Mach
Mach (1910) "Die Leitgedanken meiner naturwissenschaftlichcn Erkennenislehre und ihr Aufnahme durch die Zeitgenossen", Physikalische Zeitschrift. 1, 1910, 599-606 Eng. trans. as "The Guiding Principles of my Scientific Theory of Knowledge and its Reception by my Contemporaries", in S. Toulmin ed., Physical Reality, New York : Harper, 1970. pp.28-43. Cited in: K. Mulligan & B. Smith (1988) "[http://ontology.buffalo.edu/smith/articles/mach/mach.pdf Mach and Ehrenfels: Foundations of Gestalt Theory]"
„I know of nothing more terrible than the poor creatures who have learned too much. Instead of the sound powerful judgement which would probably have grown up if they had learned nothing, their thoughts creep timidly and hypnotically after words, principles and formulae, constantly by the same paths. What they have acquired is a spider's web of thoughts too weak to furnish sure supports, but complicated enough to provide confusion.“
— Ernst Mach
"On the Relative Educational Value of the Classics and the Mathematico-Physical Sciences in Colleges and High Schools", an address in (16 April 1886), published in Popular Scientific Lectures (1898), as translated by Thomas J. McCormack, p. 367
„Not bodies produce sensations, but element-complexes (sensation-complexes) constitute the bodies. When the physicist considers the bodies as the permanent reality, the `elements' as the transient appearance, he does not realise that all `bodies' are only mental symbols for element-complexes (sensation-complexes)“
— Ernst Mach
p. 23, as quoted in Lenin as Philosopher: A Critical Examination of the Philosophical Basis of Leninism (1948) by Anton Pannekoek, p. 33
„In reality, the law always contains less than the fact itself, because it does not reproduce the fact as a whole but only in that aspect of it which is important for us, the rest being intentionally or from necessity omitted.“
— Ernst Mach
"The Economical Nature of Physical Inquiry," in Popular Scientific Lectures (1898), p. 192
„Thought-economy is most highly developed in mathematics, that science which has reached the highest formal development, and on which natural science so frequently calls for assistance. Strange as it may seem, the strength of mathematics lies in the avoidance of all unnecessary thoughts, in the utmost economy of thought-operations. The symbols of order, which we call numbers, form already a system of wonderful simplicity and economy. When in the multiplication of a number with several digits we employ the multiplication table and thus make use of previously accomplished results rather than to repeat them each time, when by the use of tables of logarithms we avoid new numerical calculations by replacing them by others long since performed, when we employ determinants instead of carrying through from the beginning the solution of a system of equations, when we decompose new integral expressions into others that are familiar,—we see in all this but a faint reflection of the intellectual activity of a Lagrange or Cauchy, who with the keen discernment of a military commander marshalls a whole troop of completed operations in the execution of a new one.“
— Ernst Mach
pp. 224-225: On thought-economy in m., 203.
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„The mental operation by which one achieves new concepts and which one denotes generally by the inadequate name of induction is not a simple but rather a very complicated process. Above all, it is not a logical process although such processes can be inserted as intermediary and auxiliary links. The principle effort that leads to the discovery of new knowledge is due to abstraction and imagination.“
— Ernst Mach
3rd edition, p. 318ff, As quoted by , Philosophy of Science: The Link Between Science and Philosophy (1957)
„Nature consists of the elements given by the senses. Primitive man first takes out of them certain complexes of these elements that present themselves with a certain stability and are most important to him. The first and oldest words are names for "things". … The sensations are no "symbols of things". On the contrary the "thing" is a mental symbol for a sensation-complex of relative stability. Not the things, the bodies, but colours, sounds, pressures, times (what we usually call sensations) are the true elements of the world.“
— Ernst Mach
p. 23, as quoted in Lenin as Philosopher: A Critical Examination of the Philosophical Basis of Leninism (1948) by Anton Pannekoek, p. 454
„The student of mathematics often finds it hard to throw off the uncomfortable feeling that his science, in the person of his pencil, surpasses him in intelligence,—an impression which the great Euler confessed he often could not get rid of. This feeling finds a sort of justification when we reflect that the majority of the ideas we deal with were conceived by others, often centuries ago. In a great measure it is really the intelligence of other people that confronts us in science.—Mach, Ernst.“
— Ernst Mach
p. 196: Mathematics seems possessed of intelligence
