Vaikka monet tutkijat katsovat tutkielman olevan Humen merkittävin teos ja yksi filosofian historian merkittävimmistä, lukijakunta kotona Isossa-Britanniassa oli aluksi hyvin eri mieltä. HP plays a central role in Gottlob Frege's philosophy of mathematics. When two numbers are so combined, as that the one has always a unit answering to every unit of the other, we pronounce them equal; and it is for want of such a standard of equality in [spatial] extension, that geometry can scarce be esteemed a perfect and infallible science. Concerning one of these, proportion in quantity or number, Hume argues that our reasoning about proportion in quantity, as represented by geometry, can never achieve "perfect precision and exactness", since its principles are derived from sense-appearance. The principle that cardinal number was to be characterized in terms of one-to-one correspondence had previously been used to great effect by Georg Cantor, whose writings Frege knew. A Treatise of Human Nature on skotlantilaisen filosofin David Humen kirjoittama filosofinen tutkielma, joka on julkaistu vuosina 1739–1740. This result is known as Frege's theorem, which is the foundation for a philosophy of mathematics known as neo-logicism. Tunnetuin teoksen esittämistä periaatteista on niin sanottu Humen giljotiini. Although many scholars today consider the Treatise to be Hume's most important work and one of the most important books in the history of philosophy, the public in Britain did not at first agree. Hume's principle appears in Frege's Foundations of Arithmetic (§73), which quotes from Part III of Book I of David Hume's A Treatise of Human Nature (1740). {{PhilPsy} A Treatise of Human Nature is a book by Scottish philosopher David Hume, published in 1739–1740. Hume there sets out seven fundamental relations between ideas. (1739-40) In this large book, Hume talks about the human mind and tries to figure out how it works. The title-page of the third book ("Of Morals") of David Hume's A Treatise of Human Nature features an epigraph from Lucan's Pharsalia (Book IX) which serves as the prelude to Cato's celebrated speech at the oracle of Jupiter Ammon – a speech that was taken by Hume and other thinkers of the Enlightenment to be an exemplar of freethinking. We are possessed of a precise standard, by which we can judge of the equality and proportion of numbers; and according as they correspond or not to that standard, we determine their relations, without any possibility of error. See Aristotle, Metaphysics, 1020a14 and Euclid, Elements, Book VII, Definition 1 and 2. Hume's principle or HP—the terms were coined by George Boolos—says that the number of Fs is equal to the number of Gs if and only if there is a one-to-one correspondence (a bijection) between the Fs and the Gs. A Treatise of Human Nature: Being an Attempt to introduce the experimental Method of Reasoning into Moral Subjects. I.). Hume katsoi kuitenkin, että teoksen ongelmat ovat enemmän tyylissä kuin sisällössä, joten hän kirjoitti siitä lyhennelmän An Abstract Of A book lately published; Entituled, A Treatise Of human nature, &c. Wherein The chief argument of that Book is farther illustrated and Explained. Page 1 Page 2 Summary, Book I: “Of the Understanding” Hume begins by arguing for the validity of empiricism, the premise that all of our knowledge is based on our experiences, and using this method to examine several philosophical concepts. Hume katsoi kuitenkin, että teoksen ongelmat ovat enemmän tyylissä kuin sisällössä, joten hän kirjoitti siitä lyhennelmän An Abstract Of A book lately published; Entituled, A Treatise Of human nature, &c. Wherein The chief argument of that Book is farther illustrated and Explained. He contrasts this with reasoning about number or arithmetic, in which such a precision can be attained: Algebra and arithmetic [are] the only sciences in which we can carry on a chain of reasoning to any degree of intricacy, and yet preserve a perfect exactness and certainty. A Treatise of Human Nature Summary A Treatise of Human Nature. (1739-40) In this large book, Hume talks about the human mind and tries to figure out how it works. Se käsittelee ihmisluontoa ja sisältää merkittäviä huomioita skeptisismistä. HP can be stated formally in systems of second-order logic. Hume kuvasi julkisen reaktion (tai sen puutteen) sanoen teoksen ”pudoneen painosta kuolleena syntyneenä, ilman että saavutti edes sellaista huomionosoitusta kuin kiihkoilijoiden nurinaa. Hume kirjoitti tutkielman Ranskassa 26-vuotiaana. Hume kirjoitti myös teoksen An Abstract Of A book lately published; Entituled, A Treatise Of human nature, &c. Wherein The chief argument of that Book is farther illustrated and Explained. Arche: The Centre for Philosophy of Logic, Language, Mathematics and Mind at St. Andrew's University. Koska teos ei herättänyt kiinnostusta, hän ei täydentänyt sitä. David Hume (n. 7 mai 1711, Edinburgh, Regatul Marii Britanii – d. 25 august 1776, Edinburgh, Regatul Marii Britanii) a fost un filozof, istoric și economist scoțian, un adept al empirismului, unul dintre reprezentanții cei mai de seamă ai Iluminismului scoțian. Cantor's point of view, however, is the one embedded in contemporary theories of transfinite numbers, as developed in axiomatic set theory. HP plays a central role in Gottlob Frege's philosophy of mathematics. He talks about knowledge, cause and effect, emotions, right and wrong, and many other things. Koska olen luontaisesti elämäniloinen ja vilkasverinen, palauduin kuitenkin kolauksesta pian ja jatkoin opintojani maassa suurella innolla”. Humen tarkoituksena oli ollut katsoa, herättääkö teos kiinnostusta, ja mahdollisesti täydentää sitä politiikalle ja kritisismille omistetuilla teoksilla. Tämäkin kuitenkin epäonnistui. Learn how and when to remove this template message, Frege's Logic, Theorem, and Foundations for Arithmetic, "The Logical and Metaphysical Foundations of Classical Mathematics.". https://en.wikipedia.org/w/index.php?title=Hume%27s_principle&oldid=955917564, Creative Commons Attribution-ShareAlike License, This page was last edited on 10 May 2020, at 14:36. David Hume (lahir 26 April 1711 – meninggal 25 Agustus 1776 pada umur 65 tahun) ... Treatise of Human Nature, being an attempt to introduce the experimental method of reasoning into moral subject (1737) Essay on Miracles (1748) An Inquiry Concerning Human Understanding (1749) The Natural History of Religion (1755) Inquiry Concerning the Principles of Morals (1751) Referensi. The ancient Greek notion of number (arithmos) is of a finite plurality composed of units. HP can be stated formally in systems of second-order logic. A Treatise of Human Nature (1739–40) is a book by Scottish philosopher David Hume, considered by many to be Hume's most important work and one of the most influential works in the history of philosophy. Sivua on viimeksi muutettu 8. heinäkuuta 2018 kello 19.22. He talks about knowledge, cause and effect, emotions, right and wrong, and many other things. Hume's principle or HP—the terms were coined by George Boolos—says that the number of Fs is equal to the number of Gs if and only if there is a one-to-one correspondence between the Fs and the Gs. Hume katsoi kuitenkin, että teoksen ongelmat ovat enemmän tyylissä kuin sisällössä, joten hän kirjoitti siitä lyhennelmän An Abstract Of A book lately published; Entituled, A Treatise Of human nature, &c. Wherein The chief argument of that Book is farther illustrated and Explained. The suggestion has therefore been made that Hume's principle ought better be called "Cantor's Principle" or "The Hume-Cantor Principle". Hume wrote A Treatise of Human Nature in France at the age of twenty-six. (I. III. Hume's principle is named for the Scottish philosopher David Hume. The contrast between the old and modern conception of number is discussed in detail in Mayberry (2000). Teoksen koko nimi oli A Treatise of Human Nature: Being an Attempt to introduce the experimental Method of Reasoning into Moral Subjects, suomeksi ”Tutkielma ihmisluonnosta: Ollen yritys esitellä kokeellinen päättelyn menetelmä moraalisille aiheille”. Teos oli aiemman tutkielman lyhennelmä, jonka Hume julkaisi nimettömänä ja pyrki näin tekemään teoksesta helpompilukuisen ja herättelemään kiinnostusta uudelleen. Hume's principle is named for the Scottish philosopher David Hume. Frege shows that HP and suitable definitions of arithmetical notions entail all axioms of what we now call second-order arithmetic. https://fi.wikipedia.org/w/index.php?title=A_Treatise_of_Human_Nature&oldid=17422498, Sivut, jotka käyttävät ISBN-taikalinkkejä. A Treatise of Human Nature: Being an Attempt to introduce the experimental Method of Reasoning into Moral Subjects. Hume julkaisi sen nimettömänä ja pyrki näin tekemään teoksesta helpompilukuisen ja herättelemään kiinnostusta uudelleen. But Frege criticized Cantor on the ground that Cantor defines cardinal numbers in terms of ordinal numbers, whereas Frege wanted to give a characterization of cardinals that was independent of the ordinals.

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