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19th Century Logic

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2007-12-05No history Add My version 
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This is a mind map about 19th Century Logic. History. Logic. 
 
outline 
19th Century Logic
  The history of logic may be divided, with some slight degree of oversimplification, into three stages
  Greek logic
  Scholastic logic
  Mathematical logic
  Philosophical and the mathematical development of logic
 >>Note: Relationship between the philosophical and the mathematical development of logic
  What were the reasons for the philosophers' lack of interest in formal logic?
  What were the reasons for the mathematicians' interest in logic?
  What did "logic reform'' mean in the 19th century?
 >>Note: Were the systems of mathematical logic initially regarded as contributions to a reform of logic?
  Was mathematical logic regarded as art, as science or as both?
  Contexts
  The Philosophical Context in Great Britain
  The Philosophical Context in Germany
  The philosophical reform areas
  The problem of logical applications
 >>Note: The problem of logical applications focusing interest on the methodological part of traditional logic. The reform of applied logic attempted to bring philosophy in touch with the stormy development of mathematics and sciences of the time
  Priority between logic and psychology
 >>Note: The problem of a foundation of logic which itself was approached by psychological and physiological means, leading to new discussion on the question of priority between logic and psychology, and to various forms of psychologism and anti-psychologism
 
  The Mathematical Context in Great Britain
  The Mathematical Context in Germany
  Scientific production
 >>Note: Schroder divided his scientific production into three fields
  A number of papers dealing
 >>Note: A number of papers dealing with some of the current problems of his science
  General theory of connections
 >>Note: Studies concerned with creating an "absolute algebra,'' i. e., a general theory of connections. Schroder stressed that such studies represent his "very own object of research'' of which only little was published at that time
  Work on the reform and development of logic
  Accepting the New Logic
  William Stanley Jevons
  Alexander Bain
  Conclusions
  What were the reasons for the philosophers' lack of interest in formal logic?
  What were the reasons for the mathematicians' interest in logic?
  How did the mathematicians' logical activities fit into the reform of logic conceptions of the time?
  Was mathematical logic regarded as art or as science?
 19th Century Logic between Philosophy and Mathematics