Dealing with contradiction is a hallmark of sophistication, and I do not mean that word to reflect its etymological sense of sophistry. The examined life inevitably exposes us to the innumerable inconsistencies of reality, and, I believe, intelligently embracing these contradictions engenders mental flexibility and perspective. Light is a particle and not a wave; light is a wave and not a particle. Time is immutable; time is relative and specific to every particular place. Hashem knows what we will choose: Hashem's knowledge does not mandate that we make any particular choice. Hashem determines whether we have what to eat and wear; we are obligated to do hishtadlus. The universe was created from nothing five thousand seven hundred and seventy two years ago; the universe is 14 billion years old, and the Earth is four and a half billion years old. The mabul wiped out all living creatures; no archaeological record of any such world-wide deluge exists, and the Chinese have uninterrupted bureaucratic records going back to before, during, and after the date of the mabul. Hashem loves Klal Yisrael, His chosen People, and will redeem them, and Hashem rewards good deeds and punishes wickedness; the history of the Jews and the fate of Rav Akiva (כל דעביד רחמנא לטב עביד) and Nachum ish Gamzu (גם זו לטובה) would make Dr. Pangloss run out and swallow poison. שכר מצוה בהאי עלמא ליכא; but you can be sure that עונש עבירה בהאי עלמא איכא. (see Rashi Shemos 6:9)
Yaakov Avinu did not die; Yaakov Avinu was embalmed, mummified, and buried.
That Gemara in Taanis (5b) is the classic illustration of this idea; it has been used for that purpose by many thinkers- believers and apostates and various combinations thereof.
Here is something from Reb Leib Chasman on the subject, with the usual OCR issues:
In other words, you can say למה לי קרא- סברא היא, but you can't say סברא היא- מאי איכפת לי קרא