## The Mathematical Origins of Nineteenth-Century Algebra of Logic

*Volker Peckhaus*

### in The Development of Modern Logic

- Published in print:
- 2009
- Published Online:
- September 2009
- ISBN:
- 9780195137316
- eISBN:
- 9780199867912
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195137316.003.0018
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

This chapter discusses the complex conditions for the emergence of 19th-century symbolic logic. The main scope will be on the mathematical motives leading to the interest in logic; the philosophical ... More

## George Boole and Claude Shannon: Two Mini-Biographies

*Paul J. Nahin*

### in The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691176000
- eISBN:
- 9781400844654
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691176000.003.0003
- Subject:
- Mathematics, History of Mathematics

This chapter presents brief biographical sketches of George Boole and Claude Shannon. George was born in Lincoln, a town in the north of England, on November 2, 1815. His father John, while simple ... More

## Introduction

*Brendan Dooley (ed.)*

### in The Continued Exercise of Reason: Public Addresses by George Boole

- Published in print:
- 2018
- Published Online:
- September 2019
- ISBN:
- 9780262535007
- eISBN:
- 9780262345576
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262535007.003.0001
- Subject:
- History, History of Science, Technology, and Medicine

This introductory chapter provides an overview of the life and work of George Boole. Boole is known for developing the system of algebraic logic, which eventually found an unexpected engineering ... More

## The Difficulty about Corroboration and Convergence

*L. Jonathan Cohen*

### in The Probable and The Provable

- Published in print:
- 1977
- Published Online:
- October 2011
- ISBN:
- 9780198244127
- eISBN:
- 9780191680748
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198244127.003.0011
- Subject:
- Philosophy, Metaphysics/Epistemology, Philosophy of Science

This chapter examines the difficulty about corroboration and convergence. It begins by addressing the common structure of testimonial corroboration and circumstantial convergence. The chapter also ... More

## The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age

*Paul J. Nahin*

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691176000
- eISBN:
- 9781400844654
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691176000.001.0001
- Subject:
- Mathematics, History of Mathematics

Boolean algebra, also called Boolean logic, is at the heart of the electronic circuitry in everything we use—from our computers and cars, to home appliances. How did a system of mathematics ... More

## The Laws of Thought

*Nicholas Mee*

### in Celestial Tapestry: The Warp and Weft of Art and Mathematics

- Published in print:
- 2020
- Published Online:
- September 2020
- ISBN:
- 9780198851950
- eISBN:
- 9780191886690
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198851950.003.0017
- Subject:
- Physics, History of Physics

Chapter 16 tells the story of George Boole, his wife Mary Everest Boole, and their five daughters. Boole was largely self-taught and was appointed the first Professor of Mathematics at Queen’s ... More

## Boolean Algebra

*Paul J. Nahin*

### in The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691176000
- eISBN:
- 9781400844654
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691176000.003.0004
- Subject:
- Mathematics, History of Mathematics

This chapter discusses how Boole cast logic into algebraic form. Boole was interested in symbolic analysis years before he wrote his Laws of Thought. In fact, others before him—in particular, the ... More

## Algebra: Symbolic Logic and the Logic of Symbolism

*Andrea Henderson*

### in Algebraic Art: Mathematical Formalism and Victorian Culture

- Published in print:
- 2018
- Published Online:
- May 2018
- ISBN:
- 9780198809982
- eISBN:
- 9780191860140
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198809982.003.0003
- Subject:
- Literature, 19th-century Literature and Romanticism

The difference between the transcendent Coleridgean symbol and the unreliable conventional symbol was of explicit concern in Victorian mathematics, where the former was aligned with Euclidean ... More

## The Continued Exercise of Reason: Public Addresses by George Boole

*Brendan Dooley (ed.)*

- Published in print:
- 2018
- Published Online:
- September 2019
- ISBN:
- 9780262535007
- eISBN:
- 9780262345576
- Item type:
- book

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262535007.001.0001
- Subject:
- History, History of Science, Technology, and Medicine

George Boole (1815–1864), remembered by history as the developer of an eponymous form of algebraic logic, can be considered a pioneer of the information age not only because of the application of ... More

## Philosophic Prophecy

*Eric Schliesser*

### in Philosophy and Its History: Aims and Methods in the Study of Early Modern Philosophy

- Published in print:
- 2013
- Published Online:
- September 2013
- ISBN:
- 9780199857142
- eISBN:
- 9780199345427
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199857142.003.0011
- Subject:
- Philosophy, History of Philosophy

This paper argues that historians of philosophy must coin concepts that disclose the near or distant past and create a shared horizon for our philosophical future. Two concepts are introduced: ... More

## Boole, Shannon, and Probability

*Paul J. Nahin*

### in The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691176000
- eISBN:
- 9781400844654
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691176000.003.0006
- Subject:
- Mathematics, History of Mathematics

George Boole and Claude Shannon shared a deep interest in the mathematics of probability. Boole's interest was, of course, not related to the theory of computation—he was a century too early for ... More

## The Algebraic Tradition of Logic

*Jan von Plato*

### in The Great Formal Machinery Works: Theories of Deduction and Computation at the Origins of the Digital Age

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691174174
- eISBN:
- 9781400885039
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691174174.003.0004
- Subject:
- History, History of Science, Technology, and Medicine

This chapter explores how algebraic logic began in 1847 when George Boole presented his “calculus of deductive reasoning” in a short book titled The Mathematical Analysis of Logic. His calculus ... More

## Introduction

*Paul J. Nahin*

### in The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691176000
- eISBN:
- 9781400844654
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691176000.003.0002
- Subject:
- Mathematics, History of Mathematics

This introductory chapter considers the work of mathematician George Boole (1815–1864), whose book An Investigation of the Laws of Thought (1854) would have a huge impact on humanity. Boole's ... More

## Beyond Boole and Shannon

*Paul J. Nahin*

### in The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691176000
- eISBN:
- 9781400844654
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691176000.003.0010
- Subject:
- Mathematics, History of Mathematics

Boole and Shannon never studied the physics of computation. Obviously Boole simply could not have, as none of the required physics was even known in his day, and Shannon was nearing the end of his ... More

## Charles Sanders Peirce: An Overview

*Vincent G. Potter*

### in Peirce's Philosophical Perspectives

- Published in print:
- 1996
- Published Online:
- May 2019
- ISBN:
- 9780823216154
- eISBN:
- 9780823284832
- Item type:
- chapter

- Publisher:
- Fordham University Press
- DOI:
- 10.5422/fordham/9780823216154.003.0001
- Subject:
- Philosophy, American Philosophy

This chapter provides an overview of the life of Charles Sander Peirce—philosopher, logician, scientist, and father of American pragmatism. This man, unappreciated in his lifetime, virtually ignored ... More

## The Claims of Science

*Brendan Dooley (ed.)*

### in The Continued Exercise of Reason: Public Addresses by George Boole

- Published in print:
- 2018
- Published Online:
- September 2019
- ISBN:
- 9780262535007
- eISBN:
- 9780262345576
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262535007.003.0008
- Subject:
- History, History of Science, Technology, and Medicine

This chapter presents George Boole's lecture on the claims of the pursuit of science, He says that like all other claims with which we are concerned, these must ultimately rest upon some intrinsic ... More

## The Social Aspect of Intellectual Culture

*Brendan Dooley (ed.)*

### in The Continued Exercise of Reason: Public Addresses by George Boole

- Published in print:
- 2018
- Published Online:
- September 2019
- ISBN:
- 9780262535007
- eISBN:
- 9780262345576
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262535007.003.0009
- Subject:
- History, History of Science, Technology, and Medicine

This chapter presents George Boole's lecture on the social aspect of intellectual culture. He says that within proper limits and under proper conditions, intellectual tastes are not only compatible ... More

## On the Character and Origin of the Ancient Mythologies

*Brendan Dooley (ed.)*

### in The Continued Exercise of Reason: Public Addresses by George Boole

- Published in print:
- 2018
- Published Online:
- September 2019
- ISBN:
- 9780262535007
- eISBN:
- 9780262345576
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262535007.003.0003
- Subject:
- History, History of Science, Technology, and Medicine

This chapter presents George Boole's lecture on the origin of ancient mythologies. Very few ancient writers agree in the representations on this subject despite living in the country whose opinions ... More

## On the Question: Are the Planets Inhabited?

*Brendan Dooley (ed.)*

### in The Continued Exercise of Reason: Public Addresses by George Boole

- Published in print:
- 2018
- Published Online:
- September 2019
- ISBN:
- 9780262535007
- eISBN:
- 9780262345576
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262535007.003.0004
- Subject:
- History, History of Science, Technology, and Medicine

This chapter presents George Boole's lecture on whether the planets are inhabited. He first considers the general conditions to which life here has manifested; second, the adaptations of the earth as ... More

## The Right Use of Leisure

*Brendan Dooley (ed.)*

### in The Continued Exercise of Reason: Public Addresses by George Boole

- Published in print:
- 2018
- Published Online:
- September 2019
- ISBN:
- 9780262535007
- eISBN:
- 9780262345576
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262535007.003.0006
- Subject:
- History, History of Science, Technology, and Medicine

This chapter presents George Boole's lecture on the right use of leisure. He says that every right involves a responsibility. The greater our freedom from external restrictions, the more we become ... More