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EUFSLAT award to Petr Ha

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EUFSLAT award to Petr Ha jek It is a pleasure for me to be here and to have the possibility to say some words about Petr Ha jek. For me and for many other people ... – PowerPoint PPT presentation

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Title: EUFSLAT award to Petr Ha


1
EUFSLAT award to Petr Hajek
  • It is a pleasure for me to be here and to have
    the possibility to say some words about Petr
    Hajek.
  • For me and for many other people, he is not only
    a great scientist, but also a teacher and a
    friend.
  • Each of us could tell a lot of stories about Petr
    motivating his great personality.
  • But at this moment we are celebrating him as a
    scientist, and hence we will mainly speak about
    his scientific activity.

2
Petrs scientific activity
  • Before speaking about fuzzy logic, which in the
    last two decades has become Petrs main research
    field, let me recall that his activity is by no
    means limited to fuzzy logic.
  • Petr wrote an important book with Vopenka about
    the theory of semisets. Then he greatly
    contributed to the metamathematics of arithmetic
    and wrote another important book with Pudlak.

3
Petrs scientific activity
  • At the same time, he did a great work about the
    applications (see the GUHA method).
  • Petrs work on Fuzzy Logic is a good compromise
    between mathematical abstract theory and
    applications.
  • In his book Metamathematics of Fuzzy Logic, Petr
    takes into account both aspects
  • he provides for a mathematical apparatus for
    fuzzy logic, thus considering problems like
    completeness, standard completeness,
    decidability, Co-NP completeness etc.

4
Petrs work on Fuzzy Logic
  • Moreover he invented an important new fuzzy
    logic, namely, BL, which will probably be called
    H (Hajeks logic) moreover he prepared the
    ground for the birth of other even weaker logics
    (the so called flea logics).
  • But at the same time he does not study fuzzy
    logic in itself, but he is interested in its
    applications. For instance, logics with constants
    for truth degrees, fuzzy logics of probability,
    of possibility and of belief, fuzzy modal logics,
    fuzzy description logics.

5
The reasons for Petrs success
  • Petr Hajek is certainly a bright sceintist, but
    he is not the only good scientist in Logic or in
    Mathematics.
  • So, we may ask what are the reasons for his
    success? (Remember for instance that his book has
    a lot of citations).
  • I think that a peculiarity of Petr is his ability
    to attract both abstract mathematicians and
    applied scientists.
  • Abstract mathematicians are not enthousiastic
    about applications when such applications do not
    involve enough mathematics.

6
The reasons for Petrs success
  • On the other hand, applied researcher are
    skeptical about abstract results when do not see
    applications.
  • Well, Petr showed that even applications may have
    an interesting mathematical theory, and hence may
    be attractive also for a pure mathematician.
  • At the same time mathematics may be very useful
    in the applications, and hence it may attract
    applied researchers.

7
Conclusions
  • Summing-up, I completely agree with the choice of
    Petr Hajek for the EUFSLAT award.
  • Let me add that we are preparing a volume for
    Trends in Logic, outstanding contributions, which
    will be devoted to Petr Hàjek and his
    contribution to Mathematical Fuzzy Logic (a new
    research field, of which Petr is probably the
    leader).
  • The volume is taking long, mostly due to my
    inefficiency, but I now think that we are close
    to the end.
  • The goal of the volume is to show to the
    mathematical community that Petrs work will be
    continued.

8
Conclusions
  • But of course, the real conclusion is
  • THANK YOU, Petr, for your work, and
    congratulations for the EUFSLAT award.
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