Send the link below via email or IMCopy
Present to your audienceStart remote presentation
- Invited audience members will follow you as you navigate and present
- People invited to a presentation do not need a Prezi account
- This link expires 10 minutes after you close the presentation
- A maximum of 30 users can follow your presentation
- Learn more about this feature in our knowledge base article
Modelling, creativity and knots
Transcript of Modelling, creativity and knots
1. Posing the right questions
2. Real world → math formulation
4. Back to reality, verification
IREM de Lyon
Pedro Lealdino F.
Université Claude Bernard
Institut Camille Jordan
Modelling and Mathematics
Lady of Shalott
© Yann Pineill & Nicolas Lefaucheux
© Cédric Villani
What are you dealing with?
What is the universe?
What are the relationships?
Alfred Lord Tennyson
by William Maw Egley
Uncertainty of the individual replaced by certainty of probabilities
knows the month
knows the day
I don't know when
Cheryl's birthday is,
but I know that Bernard
does not know too.
At first I don't know
when Cheryl's birthday
is, but I know now!
Horst.Burkhardt - Waldir - wikimedia CC BY SA
What is math?
math >> computation
> ≠ =
parasitic vs symbiotic relationships
If you don't use it, please don't mention it...
make genuine choices that matter
Nobody likes to be wrong. There is not a unique model for a situation.
Abstraction is not the problem, reality is messy, simplifying it means making choices.
Create a world for your situation, give names to your creation.
What are the rules in your game? How do we get around your world?
infrequent , more than correct, impredictible, unique, surprising
different points of view, receptivity, tolerance, versatility, capacity to change
many alternatives, analogies, relations
La science et l'hypothèse
Essai sur la psychologie de l'invention dans le domaine mathématique
Guilford, Lowenfeld, Torrance
careful, full of details, following a path of thought
Marín, de la Torre
Henri de Toulouse-Lautrec, Au lit (huile sur carton, 1892, Musée d'Orsay, Paris)
what is the source of creativity?
Maths week 2017, Dublin
© Trinity college
© Luckyfish http://www.art-tattoo.com/
Andreas F. Borchert CC-BY-SA-3.0-2.5-2.0-1.0, via Wikimedia Commons
Maths of XXI: graph, algorithmic, fuzzy logic, information
mining, game theory
certainty is the instrument of demonstration
intuition is the instrument of invention