Are you talking about the theory of evolution.. or something else?
"While the term
Darwinism has remained in use amongst the public when referring to modern evolutionary theory, it has increasingly been argued by science writers such as
Olivia Judson and
Eugenie Scott that it is an inappropriate term for modern evolutionary theory.
[6][7] For example, Darwin was unfamiliar with the work of the
Moravian scientist and
Augustinian friar Gregor Mendel,
[8] and as a result had only a vague and inaccurate understanding of
heredity. He naturally had no inkling of later theoretical developments and, like Mendel himself, knew nothing of
genetic drift, for example.
[9][10] In the United States, creationists often use the term "Darwinism" as a
pejorative term in reference to beliefs such as
scientific materialism, but in the United Kingdom the term has no negative connotations, being freely used as a shorthand for the body of theory dealing with evolution, and in particular, with evolution by natural selection.
[6]"
https://en.wikipedia.org/wiki/Darwinism
What makes you say that the TOE has no rigorous mathematical proof of feasability.?
Wikipedia is not an authoritative source on anything.
Darwinism designates a distinctive form of evolutionary explanation for the history and diversity of life on earth. Its original formulation is provided in the first edition of
On the Origin of Species in 1859. This entry first formulates ‘Darwin's Darwinism’ in terms of five philosophically distinctive themes: (i) probability and chance, (ii) the nature, power and scope of selection, (iii) adaptation and teleology, (iv) nominalism vs. essentialism about species and (v) the tempo and mode of evolutionary change. Both Darwin and his critics recognized that his approach to evolution was distinctive on each of these topics, and it remains true that, though Darwinism has developed in many ways unforeseen by Darwin, its proponents and critics continue to differentiate it from other approaches in evolutionary biology by focusing on these themes. This point is illustrated in the second half of the entry by looking at current debates in the philosophy of evolutionary biology on these five themes.
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Do you believe that the Stanford Encyclopedia of Philosophy is using the term "Darwinism" perforatively?
Darwinism proclaims that all life as we know it comes from the simple mechanisms of chance, natural selection, reproduction, and time. Most modern Darwinists (hereinafter "neo-Darwinists") are also philosophical naturalists—they proclaim that knowledge of Darwinism makes the need for God as a mover in the cause of life an unnecessary postulate. Life arose spontaneously, through some as-yet-undiscovered method, and the pillars of Darwinism has done the rest.
Yet one questions whether spontaneous generation of life can be rigorously demonstrated to be feasible. A simple look at a few published articles show that science is far from a consensus on how or even where life originated. Some articles postulate outer space as the best location. When I went to school, I was assured that life originated in clay patches in shallow seas. Most current articles say that life may have originated around volcanic vents. What we have is not a theory but rampant speculation.
Of course, some will say that Darwinism itself does not take up the topic of how life originated. It does not rule out, for example, the existence of some Creator or even aliens seeding life throughout the universe. However, this is facetious. If one postulates an intelligent designer (the Christian God, for example) then Darwinism becomes unnecessary. God could create anything he wants in any way he chooses in blatant disregard of every rule of physics.
Equally so, Darwinism must postulate that one and only one incidence of spontaneous life generation occurred. If we postulate 2 or more, immediately Darwinism becomes unable to say that all life shares a common ancestor. So the task for neo-Darwinists is to demonstrate that it is mathematically feasable that life arose once and only once in some specific place and at one specific time.
Yet what we often find is rampant speculation, perhaps fueled by the fact that almost nothing is known about primordial seas. Thus, one is free from the inconvenient problem of data that prevent one from postulating whatever one pleases. The fact that the speculation cannot be disproved by the data (there are none) is an advantage and the simple claim that it
might have happened that way is greated with warm applause from other neo-Darwinist believers.
Count me among the skeptics.