Essay Abstract

The axiom of extensionality states that two sets which contain the same elements are the same set; therefore the converse of the statement "substituting mathematics for nature" is also true. This essay, as the title suggests, is an attempt to show that the study of mathematics and that of nature, especially its physical descriptions, are intertwined.

Author Bio

Lives in Nairobi.Holds a masters in Public Health and working in public health administration as head of health research and coordination. Have written research papers in health in the course of official duty and researched physical questions privately in search of meaning. Married with four children

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4 days later

Dear peter wamai wanjohi,

Please excuse me for I have no intention of disparaging in any way any part of your essay.

I merely wish to point out that "Everything should be made as simple as possible, but not simpler." Albert Einstein (1879 - 1955) Physicist & Nobel Laureate.

Only nature could produce a reality so simple, a single cell amoeba could deal with it.

The real Universe must consist only of one unified visible infinite physical surface occurring in one infinite dimension, that am always illuminated by infinite non-surface light.

A more detailed explanation of natural reality can be found in my essay, SCORE ONE FOR SIMPLICITY. I do hope that you will read my essay and perhaps comment on its merit.

Joe Fisher, Realist

    Nice essay Prof Wanjohi,

    You have written a nice essay on mathematics telling mathematics and nature are not different from each other, very good idea indeed!

    .................. Dynamic Universe Model is a mathematical model for Universe. These mathematics show the bodies movement will be having a purpose...just have a look at my essay... "Distances, Locations, Ages and Reproduction of Galaxies in our Dynamic Universe" where UGF (Universal Gravitational force) acting on each and every mass, will crate a direction and purpose of movement.....

    For your information Dynamic Universe model is totally based on experimental results. Here in Dynamic Universe Model Space is Space and time is time in cosmology level or in any level. In the classical general relativity, space and time are convertible in to each other.

    Many papers and books on Dynamic Universe Model were published by the author on unsolved problems of present day Physics, for example 'Absolute Rest frame of reference is not necessary' (1994) , 'Multiple bending of light ray can create many images for one Galaxy: in our dynamic universe', About "SITA" simulations, 'Missing mass in Galaxy is NOT required', "New mathematics tensors without Differential and Integral equations", "Information, Reality and Relics of Cosmic Microwave Background", "Dynamic Universe Model explains the Discrepancies of Very-Long-Baseline Interferometry Observations.", in 2015 'Explaining Formation of Astronomical Jets Using Dynamic Universe Model, 'Explaining Pioneer anomaly', 'Explaining Near luminal velocities in Astronomical jets', 'Observation of super luminal neutrinos', 'Process of quenching in Galaxies due to formation of hole at the center of Galaxy, as its central densemass dries up', "Dynamic Universe Model Predicts the Trajectory of New Horizons Satellite Going to Pluto" etc., are some more papers from the Dynamic Universe model. Four Books also were published. Book1 shows Dynamic Universe Model is singularity free and body to collision free, Book 2, and Book 3 are explanation of equations of Dynamic Universe model. Book 4 deals about prediction and finding of Blue shifted Galaxies in the universe.

    With axioms like... No Isotropy; No Homogeneity; No Space-time continuum; Non-uniform density of matter(Universe is lumpy); No singularities; No collisions between bodies; No Blackholes; No warm holes; No Bigbang; No repulsion between distant Galaxies; Non-empty Universe; No imaginary or negative time axis; No imaginary X, Y, Z axes; No differential and Integral Equations mathematically; No General Relativity and Model does not reduce to General Relativity on any condition; No Creation of matter like Bigbang or steady-state models; No many mini Bigbangs; No Missing Mass; No Dark matter; No Dark energy; No Bigbang generated CMB detected; No Multi-verses etc.

    Many predictions of Dynamic Universe Model came true, like Blue shifted Galaxies and no dark matter. Dynamic Universe Model gave many results otherwise difficult to explain

    I request you to have a look at my essay on Dynamic Universe Model and its blog also where all my books and papers are available for free downloading...

    http://vaksdynamicuniversemodel.blogspot.in/

    Best wishes to your essay.

    For your blessings please................

    =snp. gupta

      Dear Peter,

      An interesting history of mathematics as it applies to physical reality.

      Not sure how this relates to 'aims and intentions' unless it is your final statement that "mathematics produces a representation of physical reality."

      I would disagree with this conclusion since no mathematical equation gives precisely and exactly the measurements of any experiment, to any degree of accuracy.

      I will suggest mathematics is a generalizing science, which takes what is the same between objects or situations - between two sticks and two sheep and two stars (the concept of 'two' comes from this). It is the ability to generalize across many apparently different situations that gives mathematics great power, when applied to reality. However this same generalizing ability suggests it may not provide the uniqueness we find everywhere in reality.

      You also leave out a number of issues with mathematics over history. Decimals did not appear in general use until about 500 years ago and the Pythagorean did not count sqrt(2) as an irrational number, as irrational numbers were not considered numbers until much more recently. There is also the 300 year discussion of how an infinity of infinitely small non-numbers can become a number (or value) that raged against the calculus. Mathematicians do not agree on many things, especially when infinity is involved (which comes into play with calculus and many more recent aspects).

      Mathematics is not as pure nor as exact as you make it appear.

      A good read about a number of aspects of mathematics and physics, just need to keep perspective that mathematics is another human endeavor with it's own problems and failures.

      Don

        10 days later

        Dear Sir,

        I totally agree that experimental work (physical, mental as well as innovation) usually does it for man's quest in generating new knowledge ,solving problems and advancing technology.The argument i tried to present is that mathematical law often also lead to specific aims and intentions. This interchangeability between general and particular lawfulness means mathematics is an underlying principle. It is mostly the measurement that fails,not the mathematic e.g at the quantum scale due to uncertainty and at relativistic scale due to the distances involved.In those boundary conditions mathematics becomes the only viable option ;for example using differential equations to make physical predictions and thereby generate new physical laws.

        10 days later

        Peter,

        I found that an interesting, valid and well organized review of what seems like the yin and yang of the universe.

        Do you think the real universal link here may be what we term 'geometry'?

        I identify dynamic geometry a very valuable in decoding nature at ALL scales (me essay identifying an apparent important 3D dynamic extension of Pythagoras' theorem!)

        I think your essay deserves a rather higher place and my score will help.

        Best wishes

        Peter

        6 days later

        Dear Sirs!

        Physics of Descartes, which existed prior to the physics of Newton returned as the New Cartesian Physic and promises to be a theory of everything. To tell you this good news I use «spam».

        New Cartesian Physic based on the identity of space and matter. It showed that the formula of mass-energy equivalence comes from the pressure of the Universe, the flow of force which on the corpuscle is equal to the product of Planck's constant to the speed of light.

        New Cartesian Physic has great potential for understanding the world. To show it, I ventured to give "materialistic explanations of the paranormal and supernatural" is the title of my essay.

        Visit my essay, you will find there the New Cartesian Physic and make a short entry: "I believe that space is a matter" I will answer you in return. Can put me 1.

        Sincerely,

        Dizhechko Boris