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Gauss ' religious consciousness was based on an insatiable thirst for truth and a deep feeling of justice extending to intellectual as well as material goods . | Wiki1k:wikipedia:6125:13:0 | 18 | extending | true | extend | [
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He conceived spiritual life in the whole universe as a great system of law penetrated by eternal truth , and from this source he gained the firm confidence that death does not end all . | Wiki1k:wikipedia:6125:13:1 | 1 | conceived | true | conceive | [
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He conceived spiritual life in the whole universe as a great system of law penetrated by eternal truth , and from this source he gained the firm confidence that death does not end all . | Wiki1k:wikipedia:6125:13:1 | 14 | penetrated | true | penetrate | [
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He conceived spiritual life in the whole universe as a great system of law penetrated by eternal truth , and from this source he gained the firm confidence that death does not end all . | Wiki1k:wikipedia:6125:13:1 | 32 | end | true | end | [
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In his 1799 doctorate in absentia , A new proof of the theorem that every integral rational algebraic function of one variable can be resolved into real factors of the first or second degree , Gauss proved the fundamental theorem of algebra which states that every non-constant single-variable polynomial with complex coefficients has at least one complex root . | Wiki1k:wikipedia:6125:23:0 | 24 | resolved | true | resolve | [
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In his 1799 doctorate in absentia , A new proof of the theorem that every integral rational algebraic function of one variable can be resolved into real factors of the first or second degree , Gauss proved the fundamental theorem of algebra which states that every non-constant single-variable polynomial with complex coefficients has at least one complex root . | Wiki1k:wikipedia:6125:23:0 | 24 | resolved | true | resolve | [
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In his 1799 doctorate in absentia , A new proof of the theorem that every integral rational algebraic function of one variable can be resolved into real factors of the first or second degree , Gauss proved the fundamental theorem of algebra which states that every non-constant single-variable polynomial with complex coefficients has at least one complex root . | Wiki1k:wikipedia:6125:23:0 | 36 | proved | true | prove | [
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Mathematicians including Jean le Rond d'Alembert had produced false proofs before him , and Gauss 's dissertation contains a critique of d'Alembert 's work . | Wiki1k:wikipedia:6125:23:1 | 1 | including | true | include | [
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Ironically , by today 's standard , Gauss 's own attempt is not acceptable , owing to implicit use of the Jordan curve theorem . | Wiki1k:wikipedia:6125:23:2 | 15 | owing | true | owe | [
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However , he subsequently produced three other proofs , the last one in 1849 being generally rigorous . | Wiki1k:wikipedia:6125:23:3 | 4 | produced | true | produce | [
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His attempts clarified the concept of complex numbers considerably along the way . | Wiki1k:wikipedia:6125:23:4 | 2 | clarified | true | clarify | [
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Gauss 's intellectual abilities attracted the attention of the Duke of Brunswick , who sent him to the Collegium Carolinum -LRB- now Braunschweig University of Technology -RRB- , which he attended from 1792 to 1795 , and to the University of Göttingen from 1795 to 1798 . | Wiki1k:wikipedia:6125:2:0 | 4 | attracted | true | attract | [
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His breakthrough occurred in 1796 when he showed that a regular polygon can be constructed by compass and straightedge if and only if the number of sides is the product of distinct Fermat primes and a power of 2 . | Wiki1k:wikipedia:6125:2:2 | 14 | constructed | true | construct | [
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This was a major discovery in an important field of mathematics ; construction problems had occupied mathematicians since the days of the Ancient Greeks , and the discovery ultimately led Gauss to choose mathematics instead of philology as a career . | Wiki1k:wikipedia:6125:2:3 | 15 | occupied | true | occupy | [
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This was a major discovery in an important field of mathematics ; construction problems had occupied mathematicians since the days of the Ancient Greeks , and the discovery ultimately led Gauss to choose mathematics instead of philology as a career . | Wiki1k:wikipedia:6125:2:3 | 15 | occupied | true | occupy | [
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This was a major discovery in an important field of mathematics ; construction problems had occupied mathematicians since the days of the Ancient Greeks , and the discovery ultimately led Gauss to choose mathematics instead of philology as a career . | Wiki1k:wikipedia:6125:2:3 | 29 | led | true | lead | [
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This was a major discovery in an important field of mathematics ; construction problems had occupied mathematicians since the days of the Ancient Greeks , and the discovery ultimately led Gauss to choose mathematics instead of philology as a career . | Wiki1k:wikipedia:6125:2:3 | 32 | choose | true | choose | [
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Gauss was so pleased by this result that he requested that a regular heptadecagon be inscribed on his tombstone . | Wiki1k:wikipedia:6125:2:4 | 9 | requested | true | request | [
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Gauss was so pleased by this result that he requested that a regular heptadecagon be inscribed on his tombstone . | Wiki1k:wikipedia:6125:2:4 | 9 | requested | true | request | [
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Gauss was so pleased by this result that he requested that a regular heptadecagon be inscribed on his tombstone . | Wiki1k:wikipedia:6125:2:4 | 9 | requested | true | request | [
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The stonemason declined , stating that the difficult construction would essentially look like a circle . | Wiki1k:wikipedia:6125:2:5 | 2 | declined | true | decline | [
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Bolyai 's son , János Bolyai , discovered non-Euclidean geometry in 1829 ; his work was published in 1832 . | Wiki1k:wikipedia:6125:34:0 | 7 | discovered | true | discover | [
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Bolyai 's son , János Bolyai , discovered non-Euclidean geometry in 1829 ; his work was published in 1832 . | Wiki1k:wikipedia:6125:34:0 | 7 | discovered | true | discover | [
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Bolyai 's son , János Bolyai , discovered non-Euclidean geometry in 1829 ; his work was published in 1832 . | Wiki1k:wikipedia:6125:34:0 | 16 | published | true | publish | [
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Bolyai 's son , János Bolyai , discovered non-Euclidean geometry in 1829 ; his work was published in 1832 . | Wiki1k:wikipedia:6125:34:0 | 16 | published | true | publish | [
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After seeing it , Gauss wrote to Farkas Bolyai : `` To praise it would amount to praising myself . | Wiki1k:wikipedia:6125:34:1 | 12 | praise | true | praise | [
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After seeing it , Gauss wrote to Farkas Bolyai : `` To praise it would amount to praising myself . | Wiki1k:wikipedia:6125:34:1 | 15 | amount | true | amount | [
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After seeing it , Gauss wrote to Farkas Bolyai : `` To praise it would amount to praising myself . | Wiki1k:wikipedia:6125:34:1 | 15 | amount | true | amount | [
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After seeing it , Gauss wrote to Farkas Bolyai : `` To praise it would amount to praising myself . | Wiki1k:wikipedia:6125:34:1 | 5 | wrote | true | write | [
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After seeing it , Gauss wrote to Farkas Bolyai : `` To praise it would amount to praising myself . | Wiki1k:wikipedia:6125:34:1 | 5 | wrote | true | write | [
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After seeing it , Gauss wrote to Farkas Bolyai : `` To praise it would amount to praising myself . | Wiki1k:wikipedia:6125:34:1 | 1 | seeing | true | see | [
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After seeing it , Gauss wrote to Farkas Bolyai : `` To praise it would amount to praising myself . | Wiki1k:wikipedia:6125:34:1 | 1 | seeing | true | see | [
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After seeing it , Gauss wrote to Farkas Bolyai : `` To praise it would amount to praising myself . | Wiki1k:wikipedia:6125:34:1 | 17 | praising | true | praise | [
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After seeing it , Gauss wrote to Farkas Bolyai : `` To praise it would amount to praising myself . | Wiki1k:wikipedia:6125:34:1 | 17 | praising | true | praise | [
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For the entire content of the work ... coincides almost exactly with my own meditations which have occupied my mind for the past thirty or thirty-five years . '' | Wiki1k:wikipedia:6125:34:2 | 8 | coincides | true | coincide | [
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For the entire content of the work ... coincides almost exactly with my own meditations which have occupied my mind for the past thirty or thirty-five years . '' | Wiki1k:wikipedia:6125:34:2 | 17 | occupied | true | occupy | [
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For the entire content of the work ... coincides almost exactly with my own meditations which have occupied my mind for the past thirty or thirty-five years . '' | Wiki1k:wikipedia:6125:34:2 | 17 | occupied | true | occupy | [
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De Beauvoir published her first novel She Came to Stay in 1943 . | Wiki1k:wikipedia:62034:11:0 | 2 | published | true | publish | [
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De Beauvoir published her first novel She Came to Stay in 1943 . | Wiki1k:wikipedia:62034:11:0 | 2 | published | true | publish | [
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