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  2. Mathematical proof - Wikipedia

    en.wikipedia.org/wiki/Mathematical_proof

    This definition makes the concept of proof amenable to study. Indeed, the field of proof theory studies formal proofs and their properties, the most famous and surprising being that almost all axiomatic systems can generate certain undecidable statements not provable within the system. The definition of a formal proof is intended to capture the ...

  3. Actuarial science - Wikipedia

    en.wikipedia.org/wiki/Actuarial_science

    Actuarial science became a formal mathematical discipline in the late 17th century with the increased demand for long-term insurance coverage such as burial, life insurance, and annuities. These long term coverages required that money be set aside to pay future benefits, such as annuity and death benefits many years into the future.

  4. Life insurance - Wikipedia

    en.wikipedia.org/wiki/Life_insurance

    Permanent life insurance is life insurance that covers the remaining lifetime of the insured. A permanent insurance policy accumulates a cash value up to its date of maturation. The owner can access the money in the cash value by withdrawing money, borrowing the cash value, or surrendering the policy and receiving the surrender value.

  5. Actuarial notation - Wikipedia

    en.wikipedia.org/wiki/Actuarial_notation

    Actuarial notation is a shorthand method to allow actuaries to record mathematical formulas that deal with interest rates and life tables.. Traditional notation uses a halo system, where symbols are placed as superscript or subscript before or after the main letter.

  6. Mathematical fallacy - Wikipedia

    en.wikipedia.org/wiki/Mathematical_fallacy

    In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy.There is a distinction between a simple mistake and a mathematical fallacy in a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical fallacies there is some element of concealment or ...

  7. Proof theory - Wikipedia

    en.wikipedia.org/wiki/Proof_theory

    The reverse mathematics program was foreshadowed by results in set theory such as the classical theorem that the axiom of choice and Zorn's lemma are equivalent over ZF set theory. The goal of reverse mathematics, however, is to study possible axioms of ordinary theorems of mathematics rather than possible axioms for set theory.

  8. The Definition of Life Is Bad and Doesn't Make Sense - AOL

    www.aol.com/definition-life-bad-doesnt-sense...

    Scientists have debated the definition of life for decades, but they still lack a consensus on the answer. Skip to main content. News. 24/7 help. For premium support please call: 800 ...

  9. Actuarial reserves - Wikipedia

    en.wikipedia.org/wiki/Actuarial_reserves

    As an example, consider a whole life insurance policy of one dollar issued on (x) with yearly premiums paid at the start of the year and death benefit paid at the end of the year. In actuarial notation, a benefit reserve is denoted as V. Our objective is to find the value of the net level premium reserve at time t.