This contextual definition governing cardinal numbers is the basic principle upon which Frege forged his development of the theory of natural numbers.[5] In Gl, Frege sketched the derivations of the basic laws of number theory from Hume's Principle; these sketches were developed into more rigorous proofs in Gg I. We will examine these derivations in the following sections.
In 1962, the food and drug act was overhauled: safety testing was made more rigorous, and proof of efficacy was also required for the first time.
10, 18 More rigorous structural proof was subsequently obtained through X-ray crystallographic analysis of alcohol 17, formed upon acid-mediated desilylation of 16. 19 Subsequent oxidation with PCC then delivered the targeted ABC-ketone 2 (81 %) 19 along with diol 18 (11 %), containing the requisite oxygenation at C10. 20 Attempts to encourage complete oxidation to 18 were unsuccessful however.
It does not provide a jury, for example, and requires "clear and convincing evidence" that the person poses a threat, rather than the more rigorous standard requiring proof "beyond a reasonable doubt".
SPORTSSATURDAY, PAGE D1 New Church Plan Over Abuse The Roman Catholic Archdiocese of Boston extended a financial settlement proposal to a second wave of victims of sexual abuse, offering smaller monetary awards and establishing a more rigorous burden of proof for accusers.
Though there has been strong indication that toxoplasmosis can be associated with various psychiatric disorders, we do agree that for a clearer association more accurate and rigorous proofs are required than those presented in this communiqué.
Both Obama and the Senate "Gang of Eight" call for more rigorous checks on employment, including a forgery-proof, theft-proof identification system, which is overdue.
We propose new clustering assignment strategy which can reduce the clustering assignment for N samples in the entire training set to the same task for M equilibrium points where M is usually very small comparing with N. Comparing with the conference version [16], this paper presents a more rigorous convergence analysis with the full proofs and explanations.
This article was the first to provide a rigorous proof that there was more than one kind of infinity.
