Godel's Incompleteness Theorems
In Our Time9 Loka 2008

Godel's Incompleteness Theorems

Melvyn Bragg and guests discuss an iconic piece of 20th century maths - Gödel’s Incompleteness Theorems. In 1900, in Paris, the International Congress of Mathematicians gathered in a mood of hope and fear. The edifice of maths was grand and ornate but its foundations, called axioms, had been shaken. They were deemed to be inconsistent and possibly paradoxical. At the conference, a young man called David Hilbert set out a plan to rebuild the foundations of maths – to make them consistent, all encompassing and without any hint of a paradox. Hilbert was one of the greatest mathematicians that ever lived, but his plan failed spectacularly because of Kurt Gödel. Gödel proved that there were some problems in maths that were impossible to solve, that the bright clear plain of mathematics was in fact a labyrinth filled with potential paradox. In doing so Gödel changed the way we understand what mathematics is and the implications of his work in physics and philosophy take us to the very edge of what we can know.With Marcus du Sautoy, Professor of Mathematics at Wadham College, University of Oxford; John Barrow, Professor of Mathematical Sciences at the University of Cambridge and Gresham Professor of Geometry and Philip Welch, Professor of Mathematical Logic at the University of Bristol.

Jaksot(1085)

Catherine of Aragon

Catherine of Aragon

Melvyn Bragg and guests discuss Catherine of Aragon (1485-1536), the youngest child of the newly dominant Spanish rulers Ferdinand and Isabella. When she was 3, her parents contracted her to marry Ar...

13 Maalis 202552min

Sir John Soane

Sir John Soane

Melvyn Bragg and guests discuss the architect Sir John Soane (1753 -1837), the son of a bricklayer. He rose up the ranks of his profession as an architect to see many of his designs realised to great ...

6 Maalis 202553min

Pope Joan

Pope Joan

Melvyn Bragg and guests discuss a story that circulated widely in the middle ages about a highly learned woman who lived in the ninth century, dressed as a man, travelled to Rome, and was elected Pope...

27 Helmi 202546min

Socrates in Prison

Socrates in Prison

Melvyn Bragg and guests discuss Plato's Crito and Phaedo, his accounts of the last days of Socrates in prison in 399 BC as he waited to be executed by drinking hemlock. Both works show Socrates prepar...

20 Helmi 202550min

The Battle of Valmy

The Battle of Valmy

Melvyn Bragg and guests discuss one of the most consequential battles of recent centuries. On 20th September 1792 at Valmy, 120 miles to the east of Paris, the army of the French Revolution faced Prus...

13 Helmi 202547min

Slime Moulds

Slime Moulds

Melvyn Bragg and guests discuss slime mould, a basic organism that grows on logs, cowpats and compost heaps. Scientists have found difficult to categorise slime mould: in 1868, the biologist Thomas Hu...

30 Tammi 202551min

Vase-mania

Vase-mania

Melvyn Bragg and guests discuss eighteenth century 'vase-mania'. In the second half of the century, inspired by archaeological discoveries, the Grand Tour and the founding of the British Museum, parts...

23 Tammi 202556min

Plutarch's Parallel Lives

Plutarch's Parallel Lives

Melvyn Bragg and guests discuss the Greek biographer Plutarch (c46 AD-c120 AD) and especially his work 'Parallel Lives' which has shaped the way successive generations see the Classical world. Plutarc...

16 Tammi 202556min

Suosittua kategoriassa Historia

olipa-kerran-otsikko
gogin-ja-janin-maailmanhistoria
mayday-fi
huijarit
mystista
rss-ikiuni
totuus-vai-salaliitto
tsunami
konginkangas
sotaa-ja-historiaa-podi
rouva-diktaattori
rss-sattuu-sita-suomessakin
rss-i-dont-like-mondays-2
rss-kirkon-ihmeellisimmat-tarinat
rss-subjektiivinen-todistaja
apinan-vuosi
historiaa-suomeksi
rss-peter-peter
tiedetta-ja-sirkushuveja-vanhojen-aikojen-podcast
maailmanpuu