Add to ORKGThe Four-Colour Theorem (4CT) proof, presented to the mathematical community in a pair of papers by Appel and Haken in the late 1970's, provoked a series of philosophical debates. Many conceptual points of these disputes still require some elucidation. After a brief presentation of the main ideas of Appel and Haken’s procedure for the proof and a reconstruction of Thomas Tymoczko’s argument for the novelty of 4CT’s proof, we shall formulate some questions regarding the connections between the points raised by Tymoczko and some Wittgensteinian topics in the philosophy of mathematics such as the importance of the surveyability as a criterion for distinguishing mathematical proofs from empirical experiments. Our aim is to show that t...
AbstractThe four-colour theorem, that every loopless planar graph admits a vertex-colouring with at ...
That four colours were sufficient to differentiate adjacent countries on a map was a 19th century co...
All accepted proofs of the Four Colour Theorem (4CT) are computer-dependent; and appeal to the exist...
The Four-Colour Theorem (4CT) proof, presented to the mathematical community in a pair of ...
In the paper ways in which computers are applied in mathematics are considered. An example of mathem...
The four color problem was one of the most difficult to prove problems for 150 years. It took severa...
The 4 color conjecture was made in 1852 and proved in 1879. However, a flaw was found 11 years late...
The four-colour conjecture (4CC) is a question that asks whether any map can be coloured using only ...
The four-colour problem remained unsolved for more than a hundred years has played a role of the utm...
Certainly any mathematical theorem concerning the coloring of maps would be relevant and widely appl...
The Four Color Theorem is in a set of mathematical questions that are very simple to state but amazi...
Although the Four Colour Theorem is passe, we give an elementary pre-formal proof that transparently...
In 1977 when Appel, Haken and Koch used a computer to mathematically solve the century old four-colo...
All acknowledged proofs of the Four Colour Theorem (4CT) are computerdependent. They appeal to the e...
As stated originally the four – color problem asked whether it is always possible to color the regio...
AbstractThe four-colour theorem, that every loopless planar graph admits a vertex-colouring with at ...
That four colours were sufficient to differentiate adjacent countries on a map was a 19th century co...
All accepted proofs of the Four Colour Theorem (4CT) are computer-dependent; and appeal to the exist...
The Four-Colour Theorem (4CT) proof, presented to the mathematical community in a pair of ...
In the paper ways in which computers are applied in mathematics are considered. An example of mathem...
The four color problem was one of the most difficult to prove problems for 150 years. It took severa...
The 4 color conjecture was made in 1852 and proved in 1879. However, a flaw was found 11 years late...
The four-colour conjecture (4CC) is a question that asks whether any map can be coloured using only ...
The four-colour problem remained unsolved for more than a hundred years has played a role of the utm...
Certainly any mathematical theorem concerning the coloring of maps would be relevant and widely appl...
The Four Color Theorem is in a set of mathematical questions that are very simple to state but amazi...
Although the Four Colour Theorem is passe, we give an elementary pre-formal proof that transparently...
In 1977 when Appel, Haken and Koch used a computer to mathematically solve the century old four-colo...
All acknowledged proofs of the Four Colour Theorem (4CT) are computerdependent. They appeal to the e...
As stated originally the four – color problem asked whether it is always possible to color the regio...
AbstractThe four-colour theorem, that every loopless planar graph admits a vertex-colouring with at ...
That four colours were sufficient to differentiate adjacent countries on a map was a 19th century co...
All accepted proofs of the Four Colour Theorem (4CT) are computer-dependent; and appeal to the exist...