To teach how to live without certainty and yet without being paralyzed by hesitation is perhaps the chief thing that philosophy, in our age, can do for those who study it.
Bertrand Russell
The document discusses Kurt Gödel's incompleteness theorems which proved that within any axiomatic mathematical system, there are statements that are true but cannot be proven within that system. It introduces typographical number theory (TNT) as a way to write mathematical statements as strings and explains how Gödel showed that TNT cannot prove every true statement about numbers. Specifically, Gödel constructed a statement G that asserts its own unprovability, demonstrating that TNT is incomplete. The document argues that this incompleteness implies any system needs something outside of it to fully explain itself, and that the universe ultimately relies on something immaterial and conscious that is beyond its boundaries.
Bertrand Russell was a British philosopher and mathematician born in 1872 who made several important contributions. He discovered Russell's paradox in 1901 which challenged naive set theory. He spent time in prison for his anti-war protests during World War I and helped found the Campaign for Nuclear Disarmament. Russell believed in logicism and analytical philosophy and his work discovering paradoxes and attempting to solve them through type theory is still influential today, especially in computer programming.
El documento proporciona información biográfica sobre Bertrand Russell. Nació en Gales en 1872 y estudió en la Universidad de Cambridge. Impartió clases en la Universidad de Pekín en 1921-1922. Hizo contribuciones innovadoras a los fundamentos de las matemáticas y al positivismo lógico. Abrió su propia escuela experimental en 1928 llamada Beacon Hill School, donde aplicó métodos de enseñanza progresistas. Russell fue un filósofo prolífico que creía que sabemos poco a pesar de lo mucho que conocemos
The document provides an introduction to language planning, including definitions, examples, and key concepts. It discusses how language planning aims to influence the status and internal structure of languages. Status planning involves changing a language's social role while corpus planning develops aspects like standardization, modernization, and codification. Examples of language planning include France establishing French as the sole official language and Ethiopia's literacy campaigns.
Engeenuity wishes to thank friends for being and wishes them the best this Thanksgiving. The short note expresses gratitude to friends and hopes for their well-being during the holiday.
The document discusses Kurt Gödel's incompleteness theorems which proved that within any axiomatic mathematical system, there are statements that are true but cannot be proven within that system. It introduces typographical number theory (TNT) as a way to write mathematical statements as strings and explains how Gödel showed that TNT cannot prove every true statement about numbers. Specifically, Gödel constructed a statement G that asserts its own unprovability, demonstrating that TNT is incomplete. The document argues that this incompleteness implies any system needs something outside of it to fully explain itself, and that the universe ultimately relies on something immaterial and conscious that is beyond its boundaries.
Bertrand Russell was a British philosopher and mathematician born in 1872 who made several important contributions. He discovered Russell's paradox in 1901 which challenged naive set theory. He spent time in prison for his anti-war protests during World War I and helped found the Campaign for Nuclear Disarmament. Russell believed in logicism and analytical philosophy and his work discovering paradoxes and attempting to solve them through type theory is still influential today, especially in computer programming.
El documento proporciona información biográfica sobre Bertrand Russell. Nació en Gales en 1872 y estudió en la Universidad de Cambridge. Impartió clases en la Universidad de Pekín en 1921-1922. Hizo contribuciones innovadoras a los fundamentos de las matemáticas y al positivismo lógico. Abrió su propia escuela experimental en 1928 llamada Beacon Hill School, donde aplicó métodos de enseñanza progresistas. Russell fue un filósofo prolífico que creía que sabemos poco a pesar de lo mucho que conocemos
The document provides an introduction to language planning, including definitions, examples, and key concepts. It discusses how language planning aims to influence the status and internal structure of languages. Status planning involves changing a language's social role while corpus planning develops aspects like standardization, modernization, and codification. Examples of language planning include France establishing French as the sole official language and Ethiopia's literacy campaigns.
Engeenuity wishes to thank friends for being and wishes them the best this Thanksgiving. The short note expresses gratitude to friends and hopes for their well-being during the holiday.
Nowadays, as we sit in front of the computer cranking away, we tend to neglect our wellness especially when we’re trying to get that last thing done to meet a deadline. There have been times where I sat for hours at my desk without stretching and results were a stiff neck or wrist pain.
The document discusses an engineering company being honored as a 2013 Edison Award Finalist. This recognition motivates the company to work harder each day to be even better. The company, Engeenuity, is proud of their team's accomplishments.
This short document expresses gratitude for an award and a renewed sense of responsibility to provide natural solutions to as many applications as possible using ingenuity. The document is signed by Victor De Franco Levi.
A person sold their conscience for personal gain but will ultimately regret it as they will be unable to pay the true cost of compromising their principles and integrity.
Victor has been selected as a 2013 Edison Award Finalist for his innovation APSETM Bio Photonic Devices by over 3,000 professionals from various fields. He has been invited to attend the 2013 Edison Awards ceremony on April 24-25 in Chicago where the winners will be announced. In the coming weeks, Victor will be contacted about opportunities as a finalist, including attending the event and promoting his status.
Este documento describe un nuevo sistema educativo piloto en Japón llamado "Cambio Valiente" que forma a los estudiantes como "ciudadanos del mundo" en lugar de ciudadanos japoneses. El programa se enfoca en las matemáticas comerciales, lectura, civismo, computación e idiomas/culturas internacionales en lugar de enseñar patriotismo o historia nacional. El objetivo es que los graduados hablen 4 idiomas, conozcan 4 culturas y sean competentes en negocios. El autor advierte que los hijos y nietos latinoameric
Nowadays, as we sit in front of the computer cranking away, we tend to neglect our wellness especially when we’re trying to get that last thing done to meet a deadline. There have been times where I sat for hours at my desk without stretching and results were a stiff neck or wrist pain.
The document discusses an engineering company being honored as a 2013 Edison Award Finalist. This recognition motivates the company to work harder each day to be even better. The company, Engeenuity, is proud of their team's accomplishments.
This short document expresses gratitude for an award and a renewed sense of responsibility to provide natural solutions to as many applications as possible using ingenuity. The document is signed by Victor De Franco Levi.
A person sold their conscience for personal gain but will ultimately regret it as they will be unable to pay the true cost of compromising their principles and integrity.
Victor has been selected as a 2013 Edison Award Finalist for his innovation APSETM Bio Photonic Devices by over 3,000 professionals from various fields. He has been invited to attend the 2013 Edison Awards ceremony on April 24-25 in Chicago where the winners will be announced. In the coming weeks, Victor will be contacted about opportunities as a finalist, including attending the event and promoting his status.
Este documento describe un nuevo sistema educativo piloto en Japón llamado "Cambio Valiente" que forma a los estudiantes como "ciudadanos del mundo" en lugar de ciudadanos japoneses. El programa se enfoca en las matemáticas comerciales, lectura, civismo, computación e idiomas/culturas internacionales en lugar de enseñar patriotismo o historia nacional. El objetivo es que los graduados hablen 4 idiomas, conozcan 4 culturas y sean competentes en negocios. El autor advierte que los hijos y nietos latinoameric