Soft April sunlight filtered through the
narrow windowpanes of the Combination
Room,
gilding the tousled hair of a lone
man not
yet of middle age. His garb was unconventional;
grey herringbone tweed trousers, a
cricket
sweater and a knitted scarf. He had
draped
a second sweater, of a drab colour,
over
a wooden framed mirror, opposite to
where
he sat in a high backed, wicker chair.
He was of slight build and rather short,
his legs barely touching the floor.
A cigarette
protruded at an angle from his compressed
lips, as he concentrated on aligning
a walnut
exactly between the jaws of a nutcracker.
When the necessary precision had been
achieved,
he squeezed the nutcracker hard, using
both
hands. The nut skittered across the
wooden
floor, disappearing under the oak table.
"Blast," he said, snatching
the
cigarette from his lips, parking it
in the
ashtray on the table. He contemplated
taking
a new nut from the bowl, but his sense
of
duty, not to mention tidiness, forced
him
to jump up and search for the nut beneath
the table.
The errant nut had lodged in a crack
between
the uneven boards. He was just reaching
for
it when the heavy door to the room
creaked
open. Jerking upright, his head struck
the
underside of the table.
"Drat it all," he shouted,
backing
out without the nut.
From a kneeling position, he turned
his
head to see the round, fleshy features
of
his student peeping round the door.
"Handley," the face hissed,
through
stained teeth and fleshy lips, "I
must
speak with you at once."
"What is it Sanjeev? You know
the senior
rooms are reserved for Fellows only."
"I know Handley. You are topmost
professor
and I am still very low, but I have
damaged
the WC in the staircase, and I don't
know
what to do."
"What do you mean damaged?"
Handley
asked, rising to his feet.
"It's the pump-action. I pull
the chain,
many, many times, but always there
are many
unhappy returns of the bowel motion."
"You should report it to the porter.
Well, come in, for God's sake, you're
creating
a draft."
The door opened to reveal a rather
uncouth
figure in his late twenties, stout
and not
recently shaven.
"Now you're here, you'd better
sit
down. I'll cover for you if anyone
comes."
"Oh, thank you Handley. But I
must
explain, the motion was not mine, but
some
other dirty fellows'. I am still in
need
of relief, you see."
"I don't think I need to know
the details,
thank you, Sanjeev. As long as you
do use
the WC and not the garden bed, I will
be
satisfied. I couldn't open my window
for
a week after your last escapade."
"Most sorry, Handley, but it takes
a lot of getting used to this English
custom
of sitting down to do business."
"Yes, yes, I'm sure it does, but
you
must persevere if you are going to
fit in
with our quaint little ways."
"I will persevere, Handley, I
will
be most deciduous."
"Assiduous, Sanjeev, from the
Latin
assidere."
Sanjeev Ramangita sat down on the floor
with crossed legs, his large eyes rolled,
looking round the room. His gaze lighted
on the bowl of nuts, lips moving in
the act
of silent counting.
"Seventeen nuts, Handley and one
on
the floor. What do you think it means?
Shall
I calculate the Goldbach ratio?"
"It means that I accidentally
dropped
one of the nuts on the floor."
"Butterfingers. Why do they say
that
Handley, do the English butter their
fingers?
"
"No they don't; it means dropping
a
ball in the game of cricket."
"But what if your ball has already
dropped, and what about buttery boards?"
"If you keep asking silly question
you will become a butt yourself. Now,
if
you don't mind, I would rather like
to look
at the cricket scores now," Handley
said. He sat down and picked up a crumpled
copy of the times from the table.
"I could crack nuts for you."
"No thank you, I prefer to crack
my
own nuts."
Sanjeev fell silent. The ticking of
the
black clock on the mantelpiece, interspersed
with the occasional rustle of Handley's
paper
marked the passage of time.
The sound of footsteps and voices echoed
in the passage outside the door.
"Shall I hide, Handley?"
Sanjeev
whispered.
"Well, you might try the wardrobe
but
I don't think the smell of naphtha
and vegetable
curry is an ideal combination. Just
stand
by the window, and gaze intelligently
into
the distance."
"Like Rabindranath Tagore?"
"Yes, something like that."
While Sanjeev moved to the window,
Handley
quickly smoothed down his hair and
lit another
cigarette. He just had time to arrange
The
Times on the table, with the completed
crossword
prominently displayed, before striking
a
pose.
A slim man of medium height entered,
talking
in fluting tones over his shoulder.
He looked like an animated turtle,
snapping
out his words with exaggerated clarity.
His
companion, a decade and a half younger,
was
very tall and of athletic build. The
tall
man's face was gloomy, with dark circles
under the eyes. Unusually, he wore
no tie.
He listened intently as the older man
spoke.
"It's all up to you, now that
my Magnum
Opus has been published. You must take
over
the torch and build on what I have
achieved.
You can see more clearly than I what
must
come next in the great story of philosophy.
It's a great burden, I know, but I
believe
you are the only one who can carry
the work
forward."
The tall man closed the door behind
them
and then stopped, transfixed in front
of
the mirror that Handley had covered
with
his pullover.
"Isn't that a bit of a mixed metaphor?"
Handley said, "Unless he's going
to
burn down the old building first."
"I thought I might find you here,"
Bernard Rushwell said, advancing towards
the table where Handley sat. "Perusing
the cricket scores, I bet. I wanted
to tell
you that the prodigal son has returned
from
Norway, but only on a flying visit.
He has
some important results to communicate.
I
was sceptical at first - we had a terrible
row - but he has almost won me over."
Handley wondered why he ought to care
about
Wittgemein's return. He knew the Austrian
by sight, but had hardly spoken to
this new
Apostle. He was an Angel himself, but
disapproved
of some of the newer members of the
society,
particularly Canard-Means' Bloomsbury
friends.
When Ludolph Wittgemein came over to
shake
his hand, Handley thought of Mary Shelley's
monster. The Austrian's grip was surprisingly
limp and brief for such a muscular
man, but
Handley had no desire to hold hands
with
the chap. He would leave that sort
of thing
to Canard-Means and company.
With a pang of guilt, he turned to
the window,
where Sanjeev was casting his broad
shadow
into the room.
"I would like to introduce my
pupil,
Sanjeev Ramangita. Bernard, this is
Mr Ramangita.
Sanjeev, this is the renowned philosopher
Professor Bernard Rushwell."
"I am most honoured to meet you, Sir.
I have only just arrived in England,
and
have yet to conquer the plumbing, but
I hope
soon to appreciate the greatness of
your
work."
"It's already out of date, I'm
afraid,"
Rushwell said, "so it may not
be worth
your while. Ludolph, you should meet
Professor
Handley's protégé, Handley expects
great
things from him when he has learned
the ropes.
A future Apostle, eh Handley?"
Like the contact between Adam and God
on
the ceiling of the Sistine Chapel,
their
hands barely touched; the worlds of
philosophy
and mathematics repelling each other
like
oil and water, despite Rushwell's struggle
to make them mix.
"Well, we might as well sit down,"
Rushwell said. "Sherry is in order,
I think. Ludolphus. Would you do the
honours,
please. It's really rather important,
you
see. Whitehorn and I have laboured
in the
vineyard all these years and we might
have
produced a barren crop."
"Er, no sherry, for Sanjeev, Wittgemein,
he's a Hindu," Handley said.
"Save it for Canard-Means,"
Rushwell
interjected, "I asked him to pop
in
later so we could get his views on
Ludolph's
new ideas. Right, sit down Ludolph,
we might
as well begin."
Wittgemein moved a wooden chair a little
way back from the group, as if delivering
a tutorial, and rummaged in a voluminous
jacket pocket. He pulled at a battered
spiral
bound notebook, whose wire had become
entangled
in the lining. After a brief struggle
and
the tearing of cloth, he got it out
and located
the starting point of his notes.
"The world is all that is the
case,"
he began, in a hoarse voice. "It
is
the totality of facts, not of things.
The
world is determined by the facts, and
by
their being all the facts."
"Right, this is very compressed,"
Rushwell interrupted, "I'd like
to say
why I think this approach is so important.
In the Principia, we tried to forge
a link
between the most primitive logical
ideas
to the objects and relations of mathematics.
The underlying assumption was that
logic
was the proper place to start. But,
unless
we know what we mean by logic we can't
know
that it is fundamental to our enquiries."
"Well, where else could you start?"
Handley said, "You could have
left well
alone. Most mathematicians of sufficient
calibre can get on with their business
without
worrying too much about the philosophical
underpinnings."
"There is the question of rigour.
While
few could match your standards, Gordon,
they
still fall a long way short of axiomatic
proofs as we have defined them,"
Rushwell
said.
"Yes, but there is quite a difference
between doing real mathematics and
merely
laying down the law about how it should
be
done. You may be forgetting that mathematical
beauty often determines the direction
of
an enquiry into fundamental problems
rather
than a philosophical roadmap. Where
we aspire
to go there are no maps."
"Yes, Handley, you are right,"
cried Sanjeev, jumping up from his
chair,
"if you cannot follow the beautiful
things in your head, you will never
reach
the topmost heights."
"Thank you, Sanjeev. But of course,
you do need a very considerable technique
to climb the highest mountains, and
I suppose
that is where you logicians can give
us a
leg up. Anyway, if you don't know what
you
mean by logic by now, you may be in
the wrong
game, Bernard."
"But do you know what you mean
by mathematics?"
Rushwell retorted, adopting his frozen,
defensive
smile.
"Probably not, but I expect you're
going to tell me," Handley replied,
brushing fallen ash from his trousers.
Rushwell paused for a moment, drew
breath
and said, "mathematics is the
science
in which we do not know what we are
talking
about and do not care whether what
we say
is true."
Handley lit a cigarette and paused
for reflection.
"By the first part, I understand
you
to mean that we do not know what the
objects
of mathematics are exactly, since they
clearly
are not among the things of this world.
I'm
not too keen on the use of the word
science
though in this context. For me, a science
is not just a systematic enquiry but
also
one that has empirical connotations.
This
sort of science has nothing to do with
pure
mathematics, which is quite unrelated
to
worldly things. The second part of
your reply
is more complex. Mathematicians do
care a
great deal about whether their theorems
are
true or not, but I suppose you mean
true
in some absolute, ontological sense.
I'm
not much of a philosopher, so I can't
instruct
you about whether mathematical truth
is fatally
confined to its own domain or has some
mysterious
relation to what happens in the real
world."
"Perhaps we should ask Ludolph
what
he thinks, Rushwell said, looking expectantly
at his protégé."
The Austrian had gone pale and was
leaning
forward slightly, as if in pain.
"It's the words, the language,
you
see, it's just no good."
"I'm not sure I understand you,
Ludolph,
could you explain more clearly?"
"I'm sorry, Bernard, I'm rather
tired
from the journey. So much is about
to happen
in the world, all this seems so remote
now,
even though I know it is the most important
thing for people like us. I'm an Austrian
remember. If the Balkan war continues
much
longer, Austria will have to intervene.
If
She does, She could be at war with
Russia,
and that will be the end of the world,
as
we know it. Of course, I would have
to return
home and fight for my country."
"Nonsense, it doesn't mean that
at
all. I hope Asquith would have the
good sense
to keep Britain out of it. There is
no reason
why you should leave England, just
to satisfy
some chauvinistic instinct."
"I don't think you would say that
if
our country were threatened and you
were
abroad somewhere," Handley said.
"We
all hate war, but we can't turn our
backs
on our homeland."
Rushwell made an impatient gesture
with
his hand. "If you are able, Mr
Wittgemein,
we would be interested to hear your
latest
views on the matter in question."
Ludolph put his hand to his temple
and massaged
it a bit before replying. "Very
well,
what I really would like to say is
that you've
got it all wrong. I know how important
you
think it is to pin down exactly what
logic
is, Bernard, but I have come to believe
this
is a hopeless task. Like Sanjeev said,
you
see some wonderful truth in your head,
but
you can't express it clearly without
a great
deal of analysis, maybe years of work."
"Exactly," Rushwell interjected.
"No, not exactly," Ludolph
said,
his eyes lighting up for the first
time.
"That's what I'm trying to tell
you.
Not only is this kind of discussion
a waste
of time, at least for the purpose of
arriving
at the truth about the world, it entirely
misses the point."
"And exactly what is the point,
Ludolph,"
Rushwell asked icily.
"If you keep that frozen smile
up much
longer, I think I shall go quite mad,"
Ludolph said, getting up from his chair
to
pace up and down parallel to the wall.
What
is that bally pullover doing over the
mirror,
anyway?"
"Need to confirm your existence,
do
you?" Rushwell snapped, his mouth
finally
hardening into a thin line.
"For Christ's sake, Bernard, not
now.
No wonder Othalia has chucked you over.
Don't
you realise how cold and cruel you
can be
sometimes?"
"Perhaps we should continue this
another
time, when we have all calmed down
a bit,"
Handley said, stubbing out his cigarette
without looking at the antagonists.
"The pullover belongs to Gordon,"
Rushwell said, jumping up. "If
he accidentally
catches sight of himself he will realise
the futility of his existence and have
to
do away with himself. That's it, isn't
it
Gordon. It's just one of those Trinity
things
we all have to get used to. We're all
mad
in one way or another but we have to
learn
to get along. Being a cry-baby does
nobody
any good."
"But who is this 'nobody'?"
Ludolph
asked, turning to smile at Bernard.
"Very funny," the older philosopher
replied. "What now?"
"I do feel rather unwell. I haven't
eaten since dinner last night at High
Table."
"It could be your last, if you
don't
pull yourself together. You know damn
well
how much faith I've invested in you.
You
can't suddenly walk out now and throw
everything
away. You could be a Fellow in a few
years;
we would all support you, wouldn't
we Gordon?"
Ludolph stood up, clutching his belly.
"I
have a frightful cramp in my stomach."
"Pie," observed Handley.
"
"Yes," cried Sanjeev eagerly,
" pi is most important. I have
devised
many new ways to calculate this wonderful
number."
"No, mutton pie; for dinner; last
night
at High Table, I've been feeling a
bit off
colour myself," Handley said.
"That's why the WC is broken,"
Sanjeev said, excitedly. All those
dirty
fellows have been ridding themselves
of impure
food and wearing out the pump."
"I had the mutton pie too, it
had no
effect on me," Bernard said, "but
then I was weaned on Pembroke pies."
"A little lamb enclosed within
a wheaten
shell," Handley mused. "Sanjeev,
would you be so kind as to escort Mr
Wittgemein
to the staircase, so that he can relieve
himself. Meanwhile we will await the
appearance
of Apostle number 243."
"243, Handley that is a nice number.
It is three to the power of five."
"I was aware of that," Handley
said, "but it is also the membership
number of Professor Canard-Means."
"But what about the broken WC,
Handley?"
"I'm sure a man of Mr Wittgemein's
intellect will find a way round any
local
difficulties," Handley replied.
When they had left, Rushwell said,
"I
hope you will forget what I said in
the heat
of the moment. I too have been under
considerable
strain lately."
"I think we have known each other
long
enough not to attach too much importance
to such little spats," Handley
replied.
"You ought to take up something
a bit
more relaxing than logic."
"Fortunately for you, you never
married.
Domestic bliss can end up being an
unforeseen
torment."
"And your diversions?"
"Even worse," Rushwell replied,
"the very Devil. Speaking of whom,
I
think he has arrived."
A soft-featured man in his thirties with
a large moustache entered the room
and strolled
over to the seated pair.
"Your sherry's gone cold, James,"
Rushwell observed, pointing to the
full glass
on the table.
"Many thanks," canard-Means
replied.
"I just saw your acolyte, accompanied
by his Indian bearer, going into the
male
lavatory. I hope Lindon has not been
leading
him astray."
"You're a little out of touch,
Ludolph
found the Apostles were not to his
taste
after all. He's resigned."
"Pity, he became so much more
animated
among his peers."
"He has important work to do.
I think
it best if he isn't distracted by too
much
empty prattle," Rushwell replied
"And what is this important work,
pray?
Some pet scheme of yours in disguise,
perhaps."
"On the contrary, he is working
on
finding the fundamental object that
underlies
all propositional forms. Without it,
the
primacy of logic remains in doubt "
"And what do you think of these
endeavours?
I mean, doesn't this cast doubt upon
your
theory of types?"
"Exactly. I had to invent that
theory
to obviate the pernicious antinomies
of sets.
These infect the basic propositional
form,
as you know, so a new, primitive notion
of
the proposition is essential if the
whole
enterprise is not to collapse like
a house
of cards."
"Hark, I think I hear genius approaching
now," Canard-Means said.
Sanjeev entered the room, beaming,
followed
by Ludolph.
"I trust your expedition has met
with
more success than Captain Scott's,"
Handley said.
"Oh, yes Handley, much more. Ludolph
is truly a great engineer. He pulled
the
chain many times and listened to the
harmonics
of the machine. Without even looking,
he
knew that there was a blockage in the
cistern,
by the way it sang to him."
"And what was this blockage?"
Rushwell asked.
"I am very ashamed to say it was
Carr's
Synopsis, Handley. I know you told
me to
get rid of it, but I still love it
very much."
"What was it doing in the cistern?"
Handley asked.
"I need something to read in the
WC
when your British food causes a blockage.
I wrapped it in an oilskin to keep
it dry.
See, I have it here."
Sanjeev held up the dripping package,
which
began to form a pool of water on the
floor.
"I think this meeting is adjourned,"
Rushwell said, taking Ludolph's arm
and leading
him back to the door. "I'll see
you
in my rooms, James, should you wish
to learn
more about the future of philosophy."