#mathematicalobjects — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #mathematicalobjects, aggregated by home.social.
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“Gödel presented his #CompletenessTheorem on 6 September 1930 at conference in Königsberg (today known as Kaliningrad in Russia). #Hilbert was at a different conference in Königsberg and gave a grand speech on 8 September, in which he famously rejected the idea that there are limits to human knowledge. “We must know. We will know,” he said – words that were eventually engraved on his tombstone.
There is just one problem with Hilbert’s rallying cry to mathematicians – Gödel had already destroyed all hope of it the day before. Not on 6 September, when he presented his completeness theorem, but on 7 September. During a discussion with fellow logicians that day, #Gödel let slip that he had identified the possibility of “undecidable” statements – ones that cannot be proven true given a certain set of axioms, but crucially cannot be proven false either. This was the genesis of an idea that would limit the horizons of #mathematics forever.”
#Proof / #MathematicalObjects / #JacobAron <https://newscientist.com/article/2522297-the-man-who-ruined-mathematics/> (paywall) / <https://archive.md/s18W0>
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“Gödel presented his #CompletenessTheorem on 6 September 1930 at conference in Königsberg (today known as Kaliningrad in Russia). #Hilbert was at a different conference in Königsberg and gave a grand speech on 8 September, in which he famously rejected the idea that there are limits to human knowledge. “We must know. We will know,” he said – words that were eventually engraved on his tombstone.
There is just one problem with Hilbert’s rallying cry to mathematicians – Gödel had already destroyed all hope of it the day before. Not on 6 September, when he presented his completeness theorem, but on 7 September. During a discussion with fellow logicians that day, #Gödel let slip that he had identified the possibility of “undecidable” statements – ones that cannot be proven true given a certain set of axioms, but crucially cannot be proven false either. This was the genesis of an idea that would limit the horizons of #mathematics forever.”
#Proof / #MathematicalObjects / #JacobAron <https://newscientist.com/article/2522297-the-man-who-ruined-mathematics/> (paywall) / <https://archive.md/s18W0>
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“Gödel presented his #CompletenessTheorem on 6 September 1930 at conference in Königsberg (today known as Kaliningrad in Russia). #Hilbert was at a different conference in Königsberg and gave a grand speech on 8 September, in which he famously rejected the idea that there are limits to human knowledge. “We must know. We will know,” he said – words that were eventually engraved on his tombstone.
There is just one problem with Hilbert’s rallying cry to mathematicians – Gödel had already destroyed all hope of it the day before. Not on 6 September, when he presented his completeness theorem, but on 7 September. During a discussion with fellow logicians that day, #Gödel let slip that he had identified the possibility of “undecidable” statements – ones that cannot be proven true given a certain set of axioms, but crucially cannot be proven false either. This was the genesis of an idea that would limit the horizons of #mathematics forever.”
#Proof / #MathematicalObjects / #JacobAron <https://newscientist.com/article/2522297-the-man-who-ruined-mathematics/> (paywall) / <https://archive.md/s18W0>
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“Gödel presented his #CompletenessTheorem on 6 September 1930 at conference in Königsberg (today known as Kaliningrad in Russia). #Hilbert was at a different conference in Königsberg and gave a grand speech on 8 September, in which he famously rejected the idea that there are limits to human knowledge. “We must know. We will know,” he said – words that were eventually engraved on his tombstone.
There is just one problem with Hilbert’s rallying cry to mathematicians – Gödel had already destroyed all hope of it the day before. Not on 6 September, when he presented his completeness theorem, but on 7 September. During a discussion with fellow logicians that day, #Gödel let slip that he had identified the possibility of “undecidable” statements – ones that cannot be proven true given a certain set of axioms, but crucially cannot be proven false either. This was the genesis of an idea that would limit the horizons of #mathematics forever.”
#Proof / #MathematicalObjects / #JacobAron <https://newscientist.com/article/2522297-the-man-who-ruined-mathematics/> (paywall) / <https://archive.md/s18W0>
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“Gödel presented his #CompletenessTheorem on 6 September 1930 at conference in Königsberg (today known as Kaliningrad in Russia). #Hilbert was at a different conference in Königsberg and gave a grand speech on 8 September, in which he famously rejected the idea that there are limits to human knowledge. “We must know. We will know,” he said – words that were eventually engraved on his tombstone.
There is just one problem with Hilbert’s rallying cry to mathematicians – Gödel had already destroyed all hope of it the day before. Not on 6 September, when he presented his completeness theorem, but on 7 September. During a discussion with fellow logicians that day, #Gödel let slip that he had identified the possibility of “undecidable” statements – ones that cannot be proven true given a certain set of axioms, but crucially cannot be proven false either. This was the genesis of an idea that would limit the horizons of #mathematics forever.”
#Proof / #MathematicalObjects / #JacobAron <https://newscientist.com/article/2522297-the-man-who-ruined-mathematics/> (paywall) / <https://archive.md/s18W0>
