The Logician in the Archive: John Venn’s Diagrams and Victorian Historical Thinking

Логик в архиве: диаграммы Джона Венна и викторианское историческое мышление
David E. Dunning
2021-01-01

John VennVenn diagramsVictorian historiographyfrequency interpretationphilosophy of probability
Venn's intellectual world are all objects of large literatures, but the coherence that gave them meaning together in his projects remains obscured from a perspective focused on any individual element. Historiographic interest in Venn has primarily concerned his philosophy of probability, in particular his articulation of a position known as the frequency interpretation (a label popularized by John Maynard Keynes; "frequentism" is an interchangeable variant). 2 The frequency interpretation holds that probability describes proportions of outcomes among specific series of events rather than an observer's quantified confidence that a given event did or will occur (the so-called degree-of-belief interpretation). Venn's name is familiar to a far wider audience through his eponymous logic diagrams (figure Though Venn's diligent work as a collegiate historian is not unknown, scholars of Victorian historiography have so far paid him 2
1
Although Venn’s work as a collegiate historian is recognized, Victorian historiography has not sufficiently examined its significance.
2
The frequency interpretation defines probability as proportions of outcomes within specific event series, rejecting probability as quantified personal belief.
3
The paper argues that understanding the coherence among Venn’s logic, probability theory, and historical projects requires studying them together rather than in isolation.
4
Venn’s eponymous logic diagrams made him widely known beyond specialist historiography of probability.
5
Venn’s philosophy of probability, especially the frequency interpretation, has dominated historiographic attention to his work.

John Venn’s intellectual projects, including his probability philosophy, logic diagrams, and collegiate historical work

The coherence and role of these interconnected projects in Victorian historical thinking

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2021-01-01
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David E. Dunning
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