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Formal Sciences and Philosophy: Logic and Mathematics

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Formal Sciences and Philosophy: Logic and Mathematics

4.85 51,240 ratings · 1,838 reviews
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Overview: Como disciplinas autónomas, a filosofia da lógica e a filosofia da matemática são relativamente recentes. Elas nascem sob a égide da refundação da lógica por parte de Frege e da teoria dos tipos de Russell, desenvolvendo-se, posteriormente, sob a influência do programa hilbertiano dos fundamentos da matemática e, depois, da teoria de modelos. Ambas as disciplinas estão atravessadas por problemas filosóficos tradicionais, ontológicos e epistemológicos, em geral, em registo linguístico, uma característica comum da filosofia contemporânea. Como em outros domínios da filosofia, a história da lógica e da matemática, com os seus estudos de caso, contribuíram para oferecer uma visão multiforme dessas ciências, como contraponto à elegante uniformidade da sua análise formal. As quase duas dúzias de trabalhos que apresentamos ao leitor neste fascículo oferecem uma larga variedade de enfoques – histórico-exegéticos, conceituais e técnicos –, que ilustram bem o estado da arte florescente desta área de investigação, podendo, assim, atender às expectativas de um amplo espectro de interesses.Frank Thomas Sautter, Abel Lassalle Casanave and Álvaro Balsas, “Apresentação – Ciências Formais e Filosofia: Lógica e Matemática,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 979–86, DOI 10.17990/RPF/2017_73_3_0979. Oswaldo Chateaubriand, “Conceptualizing Classical Logic,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 989–1000, DOI 10.17990/RPF/2017_73_3_0989. Ricardo Santos, “Fitch’s Paradox of Knowability and the Knower Paradox: Against a Proposed Dialetheist Unified Solution,” Revista Portuguesa de Filosofia73, no. 3–4 (2017): 1001–20, DOI 10.17990/RPF/2017_73_3_1001. Róbson Ramos dos Reis, “Quantificação Existencial e o Problema da Necessidade Manifesta no Pluralismo Ontológico em Ser e Tempo de Martin Heidegger,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1021–34, DOI 10.17990/RPF/2017_73_3_1021. Manuel Correia, “Logic in Apuleius and Boethius,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1035–52, DOI 10.17990/RPF/2017_73_3_1035. Gennaro Auletta, “A Critical Examination of Peirce’s Theory of Natural Inferences,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1053–94, DOI 10.17990/RPF/2017_73_3_1053. Javier Legris, “Peirce’s Diagrammatic Logic and the Opposition between Logic as Calculus vs. Logic as Universal Language,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1095–1114, DOI 10.17990/RPF/2017_73_3_1095. Frank Thomas Sautter, “Diagramas para Juízos Infinitos,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1115–36, DOI 10.17990/RPF/2017_73_3_1115. Gonçalo Santos, “O Significado da Negação,” Revista Portuguesa de Filosofia73, no. 3–4 (2017): 1137–52, DOI 10.17990/RPF/2017_73_3_1137. Luiz Carlos Pereira and Ricardo Oscar Rodriguez, “Normalization, Soundness and Completeness for the Propositional Fragment of Prawitz’ Ecumenical System,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1153–68, DOI 10.17990/RPF/2017_73_3_1153. Paulo Guilherme Santos and Reinhard Kahle, “Diagonalização, Paradoxos e o Teorema de Löb,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1169–88, DOI 10.17990/RPF/2017_73_3_1169. Marco Aurélio Oliveira da Silva, “Albert the Great on Mathematical Quantities,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1191–1202, DOI 10.17990/RPF/2017_73_3_1191. Jorge Alberto Molina, “Port Royal: Filosofía de la Geometría,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1203–38, DOI 10.17990/RPF/2017_73_3_1203. Davide Crippa, “Descartes on the Unification of Arithmetic, Algebra and Geometry Via the Theory of Proportions,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1239–58, DOI 10.17990/RPF/2017_73_3_1239. Jesper Lützen, “Descartes on Proportions and Equations,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1259–62, DOI 10.17990/RPF/2017_73_3_1259. Eduardo N. Giovannini, Abel Lassalle Casanave, and Paulo A. S. Veloso, “De la Práctica Euclidiana a la Práctica Hilbertiana: las Teorías del Área Plana,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1263–94, DOI 10.17990/RPF/2017_73_3_1263. Camino Cañón Loyes, “El Infinito Matematico,” Revista Portuguesa de Filosofia73, no. 3–4 (2017): 1295–1318, DOI 10.17990/RPF/2017_73_3_1295. Oscar M. Esquisabel and Federico Raffo Quintana, “Leibniz in Paris: A Discussion Concerning the Infinite Number of All Units,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1319–42, DOI 10.17990/RPF/2017_73_3_1319. Eduardo Noble and Max Fernández de Castro, “The Ancient versus the Modern Continuum,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1343–80, DOI 10.17990/RPF/2017_73_3_1343. André Porto, “À Maneira de Um Colar de Pérolas?,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1381–1404, DOI 10.17990/RPF/2017_73_3_1381. José Seoa...

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ISBN
38122127
Publisher
Axioma - Publicações da Faculdade de Filosofia
Publication date
N/A
Language
Por
Pages
704 pages
Reading Options
PDF · EPUB · Mobi
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Frank Thomas Sautter
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Frank Thomas Sautter is a writer and avid reader based in the Pacific Northwest. Before pursuing writing full-time, they spent over a decade working in education. When not working on their next book, Frank Thomas Sautter can usually be found hiking with their dog or trying out new coffee shops in their neighborhood.

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Not entirely to my refined tastes. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. Perfectly average.
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Kevin Martin April 18, 2025
Such a rich narrative. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece.
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Masterpiece from start to finish. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre.
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A very strong entry. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel.
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Jacob Thomas April 16, 2025
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Elizabeth Ramirez February 19, 2025
Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. Worth every moment spent reading.
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Kimberly Robinson July 09, 2024
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Christopher Hill June 11, 2025
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Daniel Gonzalez October 19, 2025
Excellent, though slightly flawed. A brilliant concept executed with flair. Just a few pacing choices I would change. A wonderful companion for a quiet weekend.
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Donald Young August 01, 2024
Exceeded all my expectations. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I am now a lifelong fan of this author.
George Adams
George Adams March 28, 2024
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Robert Miller
Robert Miller April 23, 2025
A profoundly satisfying read. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. Worth every moment spent reading.
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Mark Nelson March 15, 2024
Masterpiece from start to finish. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author.
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Rebecca Walker February 02, 2024
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Jennifer Gonzalez
Jennifer Gonzalez August 13, 2025
A profoundly satisfying read. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre.
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Deborah Young January 29, 2025
A highly sophisticated read. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel.
Gary Gonzalez
Gary Gonzalez December 18, 2024
I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre.
Joseph Gonzalez
Joseph Gonzalez June 25, 2025
Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I will undoubtedly revisit this masterpiece.
Brian Garcia
Brian Garcia June 29, 2024
I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece.
Eric Johnson
Eric Johnson May 09, 2024
Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars.
Joseph Thomas
Joseph Thomas December 18, 2024
Masterpiece from start to finish. I adored how the story unfolded. It kept me captivated without sacrificing elegance. Worth every moment spent reading.
Anthony Harris
Anthony Harris September 27, 2025
Masterpiece from start to finish. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem.
Stephanie Torres
Stephanie Torres August 25, 2025
Masterpiece from start to finish. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece.
Kenneth Diaz
Kenneth Diaz July 04, 2024
Honestly one of the most premium reading experiences lately. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. Worth every moment spent reading.
Ashley Taylor
Ashley Taylor July 18, 2025
A profoundly satisfying read. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre.
Cynthia Phillips
Cynthia Phillips May 30, 2025
Not entirely to my refined tastes. It possessed moments of brilliance, but the narrative felt slightly disjointed ultimately. A fair 3 stars.
Kenneth Diaz
Kenneth Diaz February 26, 2024
Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I am now a lifelong fan of this author.
Patricia Rodriguez
Patricia Rodriguez December 24, 2024
Exceeded all my expectations. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I am now a lifelong fan of this author.
Betty Smith
Betty Smith November 02, 2025
Absolutely brilliant. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars.
Jennifer Torres
Jennifer Torres October 17, 2024
Took a moment to build, but the payoff was spectacular. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. Quite impressive overall.
David Brown
David Brown March 01, 2024
It was adequate. It verged on repetitive in the second act. A more concise edit would have served it well. Perhaps more aligned with a different audience's tastes.
Kimberly Hall
Kimberly Hall September 12, 2025
A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. A very distinguished novel.
Michael Hernandez
Michael Hernandez April 29, 2024
A very strong entry. The protagonist was compelling, though some subplots felt slightly overshadowed. A solid 4 stars from me.
Joshua Evans
Joshua Evans February 12, 2024
A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem.
Joseph Phillips
Joseph Phillips December 03, 2025
A decent, if standard, experience. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. Unlikely to reread, but a reasonable expenditure of time.
Susan Rodriguez
Susan Rodriguez February 06, 2024
I thoroughly enjoyed the elegance of it. The protagonist was compelling, though some subplots felt slightly overshadowed. A very distinguished novel.
Joshua Cruz
Joshua Cruz August 11, 2025
A profoundly satisfying read. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece.
Jessica Scott
Jessica Scott March 18, 2024
Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars.
Lisa Clark
Lisa Clark May 19, 2024
A profoundly satisfying read. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre.
Stephanie Carter
Stephanie Carter April 04, 2025
Masterpiece from start to finish. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars.
Anthony Harris
Anthony Harris January 20, 2025
Masterpiece from start to finish. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I am now a lifelong fan of this author.
Ryan Nguyen
Ryan Nguyen September 20, 2025
I was completely blown away. I adored how the story unfolded. It kept me captivated without sacrificing elegance. A true literary gem.
Andrew Miller
Andrew Miller February 25, 2025
An acceptable diversion. It verged on repetitive in the second act. A more concise edit would have served it well. A fair 3 stars.
Cynthia Adams
Cynthia Adams October 10, 2025
Excellent, though slightly flawed. The middle had a deliberate pace, but the climax was phenomenal. A solid 4 stars from me.
Anthony Cruz
Anthony Cruz August 10, 2025
A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. Quite impressive overall.
Joseph Brown
Joseph Brown October 08, 2024
Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. Worth every moment spent reading.
Richard  Davis
Richard Davis June 04, 2024
Honestly one of the most premium reading experiences lately. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An effortless 5 stars.
Ryan Phillips
Ryan Phillips March 03, 2025
I thoroughly enjoyed the elegance of it. It held my rapt attention, even when certain twists were telegraphed. A solid 4 stars from me.
Barbara  Davis
Barbara Davis October 07, 2025
Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I am now a lifelong fan of this author.
Christopher Turner
Christopher Turner April 21, 2025
I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. A true literary gem.
David Allen
David Allen August 19, 2024
A profoundly satisfying read. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I am now a lifelong fan of this author.
Carol Collins
Carol Collins January 25, 2025
Exceeded all my expectations. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I am now a lifelong fan of this author.
Kenneth Scott
Kenneth Scott January 23, 2024
A very strong entry. It held my rapt attention, even when certain twists were telegraphed. I would highly recommend this to discerning readers.
Donald Nelson
Donald Nelson August 01, 2025
I thoroughly enjoyed the elegance of it. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel.
Sharon Johnson
Sharon Johnson February 17, 2024
A highly sophisticated read. A brilliant concept executed with flair. Just a few pacing choices I would change. A wonderful companion for a quiet weekend.
Laura Garcia
Laura Garcia April 09, 2025
A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. Worth every moment spent reading.
Cynthia Allen
Cynthia Allen August 26, 2024
Such a rich narrative. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author.
Steven White
Steven White November 09, 2024
A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. Quite impressive overall.
Anthony Hill
Anthony Hill March 27, 2024
Excellent, though slightly flawed. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A wonderful companion for a quiet weekend.
Sandra Young
Sandra Young April 07, 2024
Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece.
Richard Anderson
Richard Anderson May 28, 2024
Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. An effortless 5 stars.
Stephanie King
Stephanie King June 27, 2024
Such a rich narrative. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre.
Susan Roberts
Susan Roberts March 26, 2024
Such a rich narrative. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. I will undoubtedly revisit this masterpiece.
Donald Miller
Donald Miller March 03, 2025
Honestly one of the most premium reading experiences lately. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I am now a lifelong fan of this author.
William Ramirez
William Ramirez September 30, 2024
Excellent, though slightly flawed. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel.
Thomas Phillips
Thomas Phillips August 08, 2024
Masterpiece from start to finish. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I am now a lifelong fan of this author.
Daniel Turner
Daniel Turner January 12, 2024
A very strong entry. A brilliant concept executed with flair. Just a few pacing choices I would change. Quite impressive overall.
Barbara Gonzalez
Barbara Gonzalez April 16, 2025
Exceeded all my expectations. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre.
Anthony  Davis
Anthony Davis December 15, 2024
Such a rich narrative. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem.
Amanda Lopez
Amanda Lopez March 30, 2024
Excellent, though slightly flawed. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. A very distinguished novel.
Amanda Adams
Amanda Adams May 28, 2025
Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. An effortless 5 stars.
Sharon Thomas
Sharon Thomas April 19, 2025
I thoroughly enjoyed the elegance of it. The protagonist was compelling, though some subplots felt slightly overshadowed. A wonderful companion for a quiet weekend.
Richard  Davis
Richard Davis October 27, 2024
A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. An absolute must-read for connoisseurs of the genre.
Anthony Hill
Anthony Hill June 17, 2024
I was completely blown away. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author.
George Martinez
George Martinez July 07, 2025
I was completely blown away. I became deeply invested in the protagonist's journey. A masterclass in storytelling. Worth every moment spent reading.
Brian Martin
Brian Martin February 25, 2024
I thoroughly enjoyed the elegance of it. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. Quite impressive overall.
Daniel Diaz
Daniel Diaz August 31, 2024
Such a rich narrative. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An effortless 5 stars.
Kimberly Hall
Kimberly Hall November 14, 2025
Took a moment to build, but the payoff was spectacular. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel.
Melissa Torres
Melissa Torres August 05, 2024
I was completely blown away. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. A true literary gem.
Cynthia Phillips
Cynthia Phillips October 29, 2024
A profoundly satisfying read. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece.
Ashley Scott
Ashley Scott June 21, 2024
Not entirely to my refined tastes. The tempo was somewhat languid, and I found my mind wandering. Not poor, simply average. Unlikely to reread, but a reasonable expenditure of time.
Kimberly Baker
Kimberly Baker June 29, 2025
Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. I will undoubtedly revisit this masterpiece.
Nicholas  Parker
Nicholas Parker May 15, 2025
Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. An absolute must-read for connoisseurs of the genre.
Charles Nelson
Charles Nelson April 18, 2024
A highly sophisticated read. The protagonist was compelling, though some subplots felt slightly overshadowed. A very distinguished novel.
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