A Mathematician's Apology by G. H. Hardy

By G. H. Hardy

A Mathematician's Apology is the well-known essay through British mathematician G. H. Hardy. It issues the aesthetics of arithmetic with a few own content material, and offers the layman an perception into the brain of a operating mathematician. certainly, this publication is frequently one among the easiest insights into the brain of a operating mathematician written for the layman.

Show description

Read or Download A Mathematician's Apology PDF

Similar aesthetics books

Art and Phenomenology

Philosophy of artwork is normally keen on the definition, appreciation and price of artwork. via a detailed exam of paintings from contemporary centuries, artwork and Phenomenology is likely one of the first books to discover visible paintings as a style of experiencing the area itself, displaying how within the phrases of Merleau-Ponty ‘Painting doesn't imitate the area, yet is an international of its own’.

Peirce and Value Theory: On Peircian Ethics and Aesthetics

Lots of the essays gathered during this e-book have been awarded on the Charles S. Peirce Sesquicentennial Congress (Harvard collage, September 1989). the amount is dedicated to subject matters inside of Peirce's price conception and provides a entire view of much less recognized elements of his influential philosophy, specifically Peirce's paintings on ethics and aesthetics.

An Introduction to Kant's Critique of Judgment

Designed as a reader's advisor for college students attempting to paintings their manner, step by step, via Kant's textual content, this is often one of many first complete introductions to Kant's Critique of Judgement. not just does it comprise an in depth and entire account of Kant's aesthetic concept, it comprises a longer dialogue of the "Critique of Teleological Judgement," a therapy of Kant's total notion of the textual content, and its position within the wider severe process.

The government of Scotland : public policy making after devolution

This booklet bargains a complete account of the coverage technique in modern Scotland. It identifies the foremost actors and associations, styles of policymaking, and the level of convergence and divergence compared to England and different devolved territories. Case reviews of policymaking in city and rural coverage, schooling, social inclusion, and financial improvement enable the reader to work out policymaking in perform.

Additional info for A Mathematician's Apology

Sample text

Imaginary’ universes are so much more beautiful than this stupidly constructed ‘real’ one; and most of the finest products of an applied mathematician’s fancy must be rejected, as soon as they have been created, for the brutal but sufficient reason that they do not fit the facts. The general conclusion, surely, stands out plainly enough. If useful knowledge is, as we agreed provisionally to say, knowledge which is likely, now or in the comparatively near future, to contribute to the material comfort of mankind, so that mere intellectual satisfaction is irrelevant, then the great bulk of higher mathematics is useless.

It is a map or picture, the joint product of many hands, a partial and imperfect copy (yet exact so far as it extends) of a section of mathematical reality. But the point which is important to us now is this, that there is one thing at any rate of which pure geometries are not pictures, and that is the spatio-temporal reality of the 17 We must of course, for the purpose of this discussion, count as pure geometry what mathematicians call ‘analytical’ geometry. 35 physical world. It is obvious, surely, that they cannot be, since earthquakes and eclipses are not mathematical concepts.

I will not risk more than a few disjointed remarks. In both theorems (and in the theorems, of course, I include the proofs) there is a very high degree of unexpectedness, combined with inevitability and economy. The arguments take so odd and surprising a form; the weapons used seem so childishly simple when compared with the far-reaching results; but there is no escape from the conclusions. There are no complications of detail—one line of attack is enough in each case; and this is true too of the proofs of many much more difficult theorems, the full appreciation of which demands quite a high degree of technical proficiency.

Download PDF sample

Rated 4.85 of 5 – based on 7 votes