Mathematics is as little a natural science as philosophy is one of the humanities. Philosophy in its essence belongs as little in the philosophical faculty as mathematics belongs to natural science. To house philosophy and mathematics in this way today seems to be a blemish or a mistake in the catalog of the universities. Plato put over the entrance to his Academy the words: "Let no one who has not grasped the mathematical enter here!" p. 69,75
German philosopher (1889–1976)
Martin Heidegger (26 September 1889 – 26 May 1976) was a German philosopher. His book Being and Time (1927) is widely regarded as one of the most important philosophy texts of the 20th Century, but Heidegger's involvement with the Nazis has led to much controversy and debate.
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Heidegger
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Kant's philosophy shifts for the first time the whole of modern thought and being (Desein) into the clarity and transparency of the foundation (Begrundung). This determines every attitude toward knowledge since then, as well as the bounds (Abgrenzungen) and appraisals of the sciences in the nineteenth century up to the present time. Therein Kant towers so far above all who precede and follow that even those who reject him or go beyond him still remain entirely dependent upon him. p. 55-56
Do the essences of proposition and of the truth determine themselves from out of the essence of the thing, or does the essence of the thing determine itself from out of the essence of the proposition? The question is posed as an either/or. However does this either/or itself suffice? Are the essence of the thing and the essence of the proposition only built as mirror images because both of them together determine themselves from out of the same but deeper lying root? However, what and where can be this common ground for the essence of the thing and of the proposition and of their origin? The unconditioned (Unbedingt)? We stated at the beginning that what conditions the essense of the thing in its thingness can no longer itself be thing and conditioned, it must be an unconditioned (Un-bedingtes). p. 47
"What is a thing?" is historical, because every report of the past, that is of the preliminaries to the question about the thing, is concerned with something static. This kind of historical reporting is an explicit shutting down of history, whereas it is, after all, a happening. We question historically if we ask what is still happening even if it seems to be past. We ask what is still happening and whether we remain equal to this happening so that it can really develop. p. 43
"Here is the chalk." This is a truth; and here and the now hereby characterize the chalk so that we emphasize by saying; the chalk, which means "this." We take a scrap of paper and we write the truth down: "Here is the chalk." We lay this written statement beside the thing of which it is the truth. After the lecture is finished both doors are opened, the classroom is aired, there will be a draft, and the scrap of paper, let us suppose, will flutter out into the corridor. A student finds it on his way to the cafeteria, reads the sentence. "Here is the chalk," and ascertains that this is not true at all. Through the draft the truth has become an untruth. Strange that a truth should depend on a gust of wind. ... We have made the truth about the chalk independent of us and entrusted it to a scrap of paper. p. 29-30
There is no information about the thingness of the thing without knowledge of the kind of truth in which the thing stands. But there is no information about this truth of the thing without knowledge of the thingness of the thing whose truth is in question. Where are we to get a foothold? The ground slips away under us. Perhaps we are already close to falling into the well. At any rate the housemaids are already laughing. p. 27
The particularity (Jeweiligkeit) of the places and their manifoldness are grounded in space, and the particularity of the time points is grounded in time. That basic characteristic of the thing, that essential determination of the thingness of the thing to be this one (je dieses), is grounded in the essence of space and time. Our question "What is a thing?" includes, therefore, the questions "What is space?" and "What is time?" It is customary The particularity (Jeweiligkeit) os the places. p. 16
Kant speaks of the "thing-in-itself" (Ding an sich) in order to distinguish it from the "thing-for-us" (Ding fur uns), that is, as a "phenomenon." A thing-in-itself is that which is not approachable through experience as are the rocks, plants, and animals. Every thing-for-us is as a thing and also a thing-in-itself, which means that it is recognized absolutely withing the absolute knowledge of God. But not every thing-in-itself is also a thing-for-us: God, for instance, is a thing-in-itself, as Kant uses the word, according to the meaning of Christian theology. p. 5
Plato has preserved in the Theaetetus - the story is that Thales, while occupied in studying the heavens above and looking up, fell into a well. A good-looking and whimsical maid from Thrace laughed at him and told him that while he might passionately want to know all things in the universe, the things in front of his very nose and feet were unseen by him." Plato added: "This jest also fits all those who become involved in Philosophy." Therefore, the question, What is a thing?" must always be rated as one that causes housemaids to laugh. p. 3