Wittgenstein's Lectures on the Foundations of Mathematics, Cambridge, 1939
niet bekend
- For
- several
- terms
- at
- Cambridge
- in
- 1939,
- Ludwig
- Wittgenstein
- lectured
- on
- the
- philosophical
- foundations
- of
- mathematics.
- A
- lecture
- class
- taught
- by
- Wittgenstein,
- however,
- hardly
- resembled
- a
- lecture.He
- sat
- on
- a
- chair
- in
- the
- middle
- of
- the
- room,
- with
- some
- of
- the
- class
- sitting
- in
- chairs,
- some
- on
- the
- floor.
- He
- never
- used
- notes.
- He
- paused
- frequently,
- sometimes
- for
- several
- minutes,
- while
- he
- puzzled
- out
- a
- problem.
- He
- often
- asked
- his
- listeners
- questions
- and
- reacted
- to
- their
- replies.
- Many
- meetings
- were
- largely
- conversation.These
- lectures
- were
- attended
- by,
- among
- others,
- D.
- A.
- T.
- Gasking,
- J.
- N.
- Findlay,
- Stephen
- Toulmin,
- Alan
- Turing,
- G.
- H.
- von
- Wright,
- R.
- G.
- Bosanquet,
- Norman
- Malcolm,
- Rush
- Rhees,
- and
- Yorick
- Smythies.
- Notes
- taken
- by
- these
- last
- four
- are
- the
- basis
- for
- the
- thirty-one
- lectures
- in
- this
- book.The
- lectures
- covered
- such
- topics
- as
- the
- nature
- of
- mathematics,
- the
- distinctions
- between
- mathematical
- and
- everyday
- languages,
- the
- truth
- of
- mathematical
- propositions,
- consistency
- and
- contradiction
- in
- formal
- systems,
- the
- logicism
- of
- Frege
- and
- Russell,
- Platonism,
- identity,
- negation,
- and
- necessary
- truth.
- The
- mathematical
- examples
- used
- are
- nearly
- always elementary.