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BEGIN:VEVENT
UID:/NewsandEvents/Events/Upcoming-Events/newsitem
/96/18-December-2001-Zuidelijk-Interuniversitair-C
olloquium-ZIC-Dirk-van-Dalen
DTSTAMP:20011207T000000
SUMMARY:Zuidelijk Interuniversitair Colloquium (ZI
C), Dirk van Dalen
ATTENDEE;ROLE=Speaker:Dirk van Dalen
DTSTART;VALUE=DATE:20011218
DTEND;VALUE=DATE:20011218
LOCATION:Room HG 6.96, TU Eindhoven
DESCRIPTION:In 1918 Brouwer published a principle
that was basic for the theory of choice sequences:
the continuity principle, which says that all map
pings from choice sequences of natural numbers to
natural numbers are continuous. A foundational arg
ument for the principle was not given. Since then
a number of arguments have been put forward to pro
vide a foundational basis for the principle. None
of these have been absolutely successful to the de
gree that we accept the axioms for arithmetic. We
will look into this matter and see what can be don
e. Also the case of the lawlike sequences is consi
dered. Furthermore a pedestrian proof of the Kreis
el-Lacombe-Shoenfield-Tscheitin theorem (all funct
ions from recursive functionals to natural numbers
are continuous) will be sketched, using a techniq
ue, now known as Ishihara's trick.
X-ALT-DESC;FMTTYPE=text/html:\n In 1918 Br
ouwer published a principle that was basic for\n
the theory of choice sequences: the continui
ty principle,\n which says that all mapping
s from choice sequences of natural\n number
s to natural numbers are continuous. A foundation
al\n argument for the principle was not giv
en. Since then a number\n of arguments hav
e been put forward to provide a foundational\n
basis for the principle. None of these have be
en absolutely\n successful to the degree th
at we accept the axioms for\n arithmetic. W
e will look into this matter and see what can be\n
done. Also the case of the lawlike sequenc
es is considered.\n Furthermore a pedestria
n proof of the\n Kreisel-Lacombe-Shoenfield
-Tscheitin theorem (all functions\n from re
cursive functionals to natural numbers are continu
ous)\n will be sketched, using a technique,
now known as Ishihara's\n trick.\n \n
URL:/NewsandEvents/Events/Upcoming-Events/newsitem
/96/18-December-2001-Zuidelijk-Interuniversitair-C
olloquium-ZIC-Dirk-van-Dalen
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