Can Maths Predict The Future?

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Is there a genuine limit to how far we can predict the future? One explanation comes from the theory of chaos. Small changes leads to large uncertainty.

A lecture by Professor Chris Budd OBE, Gresham Professor of Geometry 9 October 2018

Since Newton, we are used to science making confident predictions about the future. For example, the motion of the planets and the times of the tides. However, some things seem very hard to predict, such as the stock market, or the weather in six months' time.

Is this a fault in the way we model these systems, or is there a genuine limit to how far we can predict the future? One explanation comes from the theory of chaos, which illustrates why small changes now can lead to large uncertainty in the future.

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Excellent lecture. Excellent speaker. I will try to get to his next one in person.

latimeralder
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Excellent presentation, clear, at he right pace and without too much complicated maths. Thank you.

nickjung
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Yes, the future can be predicted. To predict the patterns are much easier than predicting the exact points.

GEMINI-zcwh
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Snow Flake Symmetry is the actuality of AM-FM, QM-Time Singularity in direct evidence. (The natural science theme of the lecture..)

Double Pendulums are a simple demo of basic Math-Phys-Chem, AM-FM phase-states of primes and cofactors in perceived chaos, from pseudo randomness.
"The Butterfly Effect" is the same fantasy as Time Travel, the Universe is always a "Crystalline" unique composition of relative timing and spacing changing in consistent ways according to the amplitudes and frequencies of timing and spacing multiphase-state occurrence in e-Pi-i primes and cofactors.., -> Traveling Times of resonance conducted through the QM-Time modulation media. Eg light and sound resonance cause-effects, and standing waves of heating and cooling at every level and rate of resonance conducted => "leaky brane modules", ..objectives and objects of QM-Time modulation duration pulses of pulses.., etc etc.

davidwilkie
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Laplace himself wrote on probability theory. He was very well aware that in practice lots of things were unpredictable. We do not know the exact position of all particles, nor do we know the exact forces acting on them and we do not have the computational ability to solve the equations exactly even if we did not all that. Laplace knew about these limitations and the quote from him asserts that the universe would be predicable to his hypothetical demon, not that it is predictable to humans. I don't think we should take a carefully qualified statement and substitute some simplified, strawman version.

johanrichter
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Boring and hard subject that has been made very interesting and intriguing

chaosolid
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I have two computer simulations of climate change one predicts global warming the other predicts an ice age. Why?

ynmpbtq
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10:30 oh god demonstrating pendulum regularity using a double pivot pendulum. With its famously chaotic motion. Facepalm.

Psnym
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So it's true then math cannot predict ones future unless you keep'em trap like trap animal then you'll know his/her next move.common sense.

davidthao
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Of course maths can predict the future. Take population growth on this planet as an example. Maths predicts that as the population of the Earth grows at an increasing rate and subtracting the available space remaining for the production of food at each notified increase. There can be only one possible outcome. When I was born in 1935 there were 2.5 Billion people in the World, 83 years later we're head towards 9 Billion, so mathematically one can predict the inevitability of the end result in the not too distant future.

davewilson
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Galileo Newton all stole from Indian Hindu history books as Bhagwat Gita and upanishads that are now made to be believed as mythoogy thanks to the British Shrimpire

mememe