Transcript THUS SPAKE the late Prof. VV Narlikar

L. Radhakrishna
UGC Centre for Advanced Studies
BANGALORE UNIVERSITY
EXHORTATIONS
2. BISOCIATION & RESEARCH
3. PROFESSIONAL MATHEMATICAL
WRITING
4. CONCLUSION: ENHANCE SCI
1.
1. EXHORTATIONS:
Respect traditions & dignity of English:
i.
Abbreviations
Dr Prof.
ii.
Dept
Theorem of Euler’s.
Rs

SCIENCE PROTOCOL
2009 Jan 28

BUSINESS PROTOCOL Jan 28 2009

ARMYPROTOCOL
28 Jan 2009
Start with “The Climax in Elegance in Algebra”
for the syllabus topic
“ The Galois Group of a Field”.
Start with “The Icon of the Millennium” /
“The Person of the 20th Century“/
“The Most Creative Intellect in the Human Race”
for just “Albert Einstein”.
[WONDER - JOY ] Hour.
Age, property are countable, but not important.
Excellence, Enthusiasm, Guidance (personal or
professional ) are not countable in units, but
they count a lot for a research scholar.
2. RESEARCH &
Foundational approach:
STANDARD PHILOSOPHIES IN MATHS
FORMALISM (Hilbert)
PLATONISM/ REALISM (Einstein)
INTUITIONISM/ CONSTRUCTIVISM (Brouwer)

Mainstream approach: (Latest philosophy)
MATHEMATICAL HUMANISM (Hersh 2001)

PHIL.
MEANINGfulness INFALlibility GOAL
FORMALISM meaningless infallible invent
[Pure]
PLATONISM meaningful infallible discover
[Applied]
INTUITIONISM meaningfulfallibleconstruct
in a finite number of steps
[computer science]
HUMANISM meaningful fallible correctible
BISOCIATION occurs when two seemingly


unrelated things are shown to have
unanticipated connections.
Quantum field theory & Topology of 4D diff.
manifolds; K-theory, Diff.Geometry & Elliptic
PDE; Wavelets & Data analysis [genomics],
Quantumgravity.
c : Celerity (speed of light)
(1) c + c = c
[Einstein’s result 1905]
where + : composition of collinear high speeds.
Recall: In real analysis,

c : Cardinality of the Continuum
(2) c + c = c
[Cantor’s result, 1875]
where + : the cardinal addition.
The form similarity of (1),(2) is BISOCIATION.
[c finite in(1) and c infinite in (2)]

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The potential (incomplete) infinity: ∞
An infinity of actual (completed) infinities:
0 , 1 , 2 , ⋯ . [Cantor’s paradise]
A relation:
0 = # { 2, 4, 6, … , to ∞ }.
= Cardinal number of the set of all
natural numbers [Countable infinity]
1 = # { 𝑥 : 𝑥 is a real number}
[Uncountable infinity]
‘The 20th century has transformed
mathematics from a cottage industry run by
a few semi-amateurs into a world-wide
industry run by an army of professionals.'
ATIYAH (WMY-2000)
WW – I Chy , WW – II Phys
WW – III ?
ETHICS IN RESEARCH: “Ask permission from
the copyright holder when you want to
reproduce a complete table or figure or quote
more than, say 100 words or 5% of the
original publication, whichever is less”.
Beware of ‘cut & paste culture’.
O’Connor, M
Writing Successfully in Science,
Chapman and Hall 1993
3. PROFESSIONAL
MATHEMATICAL WRITING
Ramanujan is called the
The Mathematician’s Mathematician
for 600 conjectures!
-NEWMAN in M.Klein (Ed.) Math in the Modern World, 1969.
Now Ramanujan’s work is applied to
Computer Science, Cancer research and Polymer
chemistry.
Challenge 2005
“Although technical writing like teaching
is a primary activity of many
mathematicians,
the principles of good mathematical
exposition are rarely made explicit”.
Boas, R.P. Editor, Notices of AMS
WRITE Mathematics RIGHT:
A Handbook for Professionals
L.Radhakrishna
(to appear 2009)
 Principles of Professional Writing:
250 [overcoming the challenge]
 Euphony, Etiquettes & Elegance
[desiderata of style]
 Presentation format:
Casual Professional
Principle of
Writing
Writing Professionalism
4. CONCLUSION:

An index of research professional status:
SCI ENCE CITATION INDEX (SCI)
2000
For a 100- citation
3: 20,000 for India
80: 20,000 the world average.


Bisociation for content
Professionalism for form
in reporting research as advocated by
Prof. V.V. Narlikar,
the Professional Presenter
would help in boosting our SCI.
If IAGRG can enhance SCI better
and it would not, then that is SIN!!
4.MATHEMATICIAN S &
Who is a Mathematician?
∞
e
dx


-∞
-x2

Physicists are getting NOBEL prizes
as well as FIELDS MEDALS.
Watch out ICM-2010 (Hyderabad)
India Mathematics Year-2009 (Delhi).
5. EINSTEIN, GR, IAGRG,SINP:


EIN ST EIN
[ IJ GRG - Bern, 1986]
EINSTEIN is a correction to NEW
TON
F = ma + (F⋅u)u /c2
[Royal Society of London, 1984 Feb 9]

EINST EIN
First one to create a subject without history
The happiest Thought :
curvature of spacetime = Gravitation
GR is created entirely by one person!
e-jl: Radhakrishna L., Mathematics Thrillerium,
SUTRA: An International Jl of Mathematical Sciences
Education, Vol.1, 1-8, 2008
http://www.tmrfindia.org/sutra/issue.html
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WORLD 1 : PHYSICAL WORLD
mass, energy, stars, rocks, blood, bone.
WORLD 2 : INDIVIDUAL WORLD
thoughts, emotions, awareness.
WORLD 3: SOCIAL WORLD
traditions, language, institutions [SINP],
conferences [IAGRG], mathematics
[non-material culture]
Chaundy et al (1954), Halmos (1970), Steenrod,
Schiffer, Halmos and Dieudonne (1973),
Knuth et al (1987),Higham (1998), Krantz
(1998), Swanson et al (1999), Maddox (2002).