I agree; the 1st syllogism is false, as most syllogisms people invent are, having the same identical "logic" as my favorite [and original] example:
P1 Birds fly
P2 Camels walk
C Therefore, butterflies swim.
All syllogisms are effectively a deceptively simple formula: A + B = C. But the formula demands, as all valid [logical] equations do, that the elements on the left side of the formula equal the element on the right side, and most syllogisms just don't follow that logic, such as that first classic one you engage in your post #1. If the formula does not work, it is fallacious, period, regardless of the language. The native language of God, I believe [and, Leo DaVinci's good friend, Fra Lucas de Pacioli, believed the same] is mathematics. Indeed, one of the early Greek interpretations of the word 'logos,' or ‘word,’ was “ratio,” as in, according to de Pacioli, the golden mean, 1:1.618, the ratio that is exemplified all over nature, such as in the succeeding chambers of a nautilus, or repeated numerous times in the ratios connecting various human body features, the shapes of leaves and flowers, etc.
First problem: The syllogism assumes a lopsided existence: The universe is assumed "eternal," but it is claimed to have had a beginning. By proper mathematics, a line is infinite in both directions, past and future, except that...
Second problem: There is no time. Time is a human construct that is not shared by eternity and God, because our mortal, finite minds have difficulty wrapping around 'eternity.' God is eternal. That is, the concept of God is eternal.
Third problem: There are many generations of Gods, not just a single God. One of them is ours. That is, our God is the literal Father of our spirits, meaning there is also a Mother, who bore those spirits [or, perhaps there are numerous Mothers, eternal spouses of our God who have, collectively, borne our spirits as children of Heavenly Parents, just as our Earthly, mortal parents bore our physical, mortal bodies. We are intended to live brief, mortal lives, have existed as spirits before our mortal birth for eons [we don't know how long], and existed eternally as intelligences [unembodied [in the spirit], formless beings, before that. Intelligence, because we were aware, individual beings, but without form. And, following mortality, our spirit, separated from the physical body in death, will reunited with a perfect, timeless, infinite physical resurrected body which will exist as such infinitely into the future. Some of us, by our dedication to obedience to God while we are in mortality, will, ourselves, become a next generation of Gods and Goddesses, creating our own "heaven and Earth" to be populated by our spirit children. our God has a Father, and Mother, and so on -- with no beginning and no end. Thus, the cycle has existed from past eternity into future eternity. There was no beginning, no "bang," and there will be no end, no "whimper." Thank you, T.S. Eliot.
Okay, so our pitiful science has perceived, we think, a beginning "pulse" of the universe. Have we perceived all? What might have happened before that? Is it a cycle? And one turn of a wheel? Or, is it infinite cycles? Eternal is not a singular direction, boys and girls, any more than one can definitively identify the beginning of a circle. It is, rather, one eternal round. And perhaps we merely see, from our perspective, a circle, which, when turned to its side, were we able to have a better view, it is an extended, eternal helix in which there is no beginning point of regression, impossible to perceive because our finite pencils cannot be sharpened to the degree to witness no beginning at all. Turn ourselves around, and we face... no end at all. We exist now, somewhere on that helix, have always been ,and always will be. That's eternity, folks, and maybe that helix is not a single tube, but infinite tubes extending eternally in all directions...