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## 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

## The Development of Modern Logic

*Leila Haaparanta (ed.)*

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

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195137316.001.0001
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

This book presents a history of modern logic from the Middle Ages through the end of the 20th century. In addition to a history of symbolic logic, the book also examines developments in the ... More

## Introduction

*Leila Haaparanta*

### 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/9780195137316.003.0009
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

This introductory chapter begins with a discussion of the concept of logic, focusing on Aristotelian logic and symbolic logic. It then discusses the concept of modern logic, and the uses of the terms ... More

## Reasoning and Belief in Victorian Mathematics

*Daniel J. Cohen*

### in The Organisation of Knowledge in Victorian Britain

- Published in print:
- 2005
- Published Online:
- January 2012
- ISBN:
- 9780197263266
- eISBN:
- 9780191734854
- Item type:
- chapter

- Publisher:
- British Academy
- DOI:
- 10.5871/bacad/9780197263266.003.0006
- Subject:
- History, British and Irish Modern History

This chapter focuses on the progress of mathematics in the nineteenth century. British mathematicians of this period showed interest in the formal aspects of mathematics, particularly in symbolic ... More

## Logic and Intuition

*Michael Heim*

### in The Metaphysics of Virtual Reality

- Published in print:
- 1994
- Published Online:
- October 2011
- ISBN:
- 9780195092585
- eISBN:
- 9780199852987
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195092585.003.0002
- Subject:
- Philosophy, Metaphysics/Epistemology

Infomania does not merely place additional tools at the tip of a man's fingertips; it builds a new environment and alters his psychic framework. The chapter argues that thinking in front of a ... More

## Logic

*Amirouche Moktefi*

### in The Mathematical World of Charles L. Dodgson (Lewis Carroll)

- Published in print:
- 2019
- Published Online:
- April 2019
- ISBN:
- 9780198817000
- eISBN:
- 9780191858697
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198817000.003.0004
- Subject:
- Mathematics, History of Mathematics

This chapter discusses Dodgson’s work on syllogisms (a topic that can be traced back to Aristotle and Ancient Greece) and how to solve them systematically using a marked board and some counters. His ... More

## The Syntax of Modal Sentential Calculi

*Nino B. Cocchiarella and Max A. Freund*

### in Modal Logic: An Introduction to its Syntax and Semantics

- Published in print:
- 2008
- Published Online:
- October 2011
- ISBN:
- 9780195366587
- eISBN:
- 9780199851898
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195366587.003.0002
- Subject:
- Philosophy, Philosophy of Language

The authors construct different modal calculi in this chapter. These cover all the well-known systems, S1–S5, of Lewis and Langford's 1932 classic Symbolic Logic. These systems are constructed first ... 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 Erotic Ontology of Cyberspace

*Michael Heim*

### in The Metaphysics of Virtual Reality

- Published in print:
- 1994
- Published Online:
- October 2011
- ISBN:
- 9780195092585
- eISBN:
- 9780199852987
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195092585.003.0007
- Subject:
- Philosophy, Metaphysics/Epistemology

How does the metaphysical laboratory fit into human inquiry as a whole? What status do electronic worlds have within the entire range of human experience? What perils haunt the metaphysical origins ... More

## Intelligent Systems

*William B. Rouse*

### in Computing Possible Futures

- Published in print:
- 2019
- Published Online:
- September 2019
- ISBN:
- 9780198846420
- eISBN:
- 9780191881589
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198846420.003.0008
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter addresses the ways in which human intelligence in routine and partly routine jobs can be augmented rather than replaced. The design of aids should begin with defining the user ... More

## Algebraic Art: Mathematical Formalism and Victorian Culture

*Andrea Henderson*

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

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198809982.001.0001
- Subject:
- Literature, 19th-century Literature and Romanticism

Algebraic Art explores the invention of a peculiarly Victorian account of the nature and value of aesthetic form, and it traces that account to a surprising source: mathematics. The nineteenth ... 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 Peculiar Codex Jerusalem 22

### in All the Names of the Lord: Lists, Mysticism, and Magic

- Published in print:
- 2008
- Published Online:
- March 2013
- ISBN:
- 9780226388700
- eISBN:
- 9780226388724
- Item type:
- chapter

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226388724.003.0009
- Subject:
- Religion, History of Christianity

This chapter explores Horus Apollo's Book on the Hieroglyphics. The subject is the symbolic logic behind the Egyptian script. The passage itself introduces the peculiar cultural association between ... More

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