Holloway: The fundamental implication is that nothing within math, science, and technology can create information. Yet information is all around us. This problem arises in many areas: evolution, artificial intelligence, economics, and physics.
Here is a simple SIR model — Susceptible- Infected- Removed: Here, “removed” can be by recovery or death. Obviously parameters are not exact so the next level would explore randomised changes in possible values and time varying models; noting particular clusters that give dramatic outcomes. The S(t) line is an inverted cumulative case curve — Read More…
Why would a spherical Earth be “unfathomable”? Once the Sun and the Moon were seen as spheres, whatever the universe as a whole might be like, it seems logical that Earth would be a sphere too.
Feser: Mathematical truths exhibit infinity, necessity, eternity, immutability, perfection, and immateriality because they are God’s thoughts, and they have such explanatory power in scientific theorizing because they are part of the blueprint implemented by God in creating the world.
Involving quantum mechanics: In an enormously complicated 165-page paper, computer scientist Zhengfeng Ji and colleagues present a result that penetrates to the heart of deep questions about math, computing and their connection to reality. It’s about a procedure for verifying the solutions to very complex mathematical propositions, even some that are believed to be impossible Read More…
According to Mullings, the reason for the association between mathematics and physics is not that the mathematics is causative but rather that mathematics studies the logical structure of possibility and constraint. As a result, if the mathematics successfully captures the possibilities and constraints in the real world, it will provide a tool for further analysis of potential possibilities.
Math is something we can use but cannot overthrow. Is that why progressives hate it so much?
Pachón: The result was shattering. Gödel showed the limitations of any formal axiomatic system in modeling basic arithmetic. He showed that no axiomatic system could be complete and consistent at the same time.
And to think that some want us to believe that there is no underlying pattern or meaning and it all just happened…
By Cristóbal Vila NATURE BY NUMBERS from Cristóbal Vila on Vimeo. Hat tip: Philip Cunningham
Earlier I posted a video on hyperreal numbers. Here is a short tutorial on their usage.
The hyperreal number system is a way of treating infinities and infinitesimals in a rigorous way that is consistent with the way that we treat ordinary numbers. I recently posted a short video introducing the concept in a simple way. I thought some of you might be interested. I find the hyperreals interesting for a Read More…
The plus and minus signs better look out too.
From the release: “The work, led by Ian Hatton at ICTA-UAB in Barcelona, shows how metabolism, abundance, growth and mortality all follow strikingly consistent relationships with body size from the tiniest bacteria to the blue whale.”
Some of us remember back to when only the arts disciplines were being ruined. But yes, math can be ruined too. That will make it hard to talk to people about a lot of science stuff, including science controversies. But hey, they’ll still have astrology.