These claims are wildly overstated.

The low critical mass of californium led to some exaggerated claims about possible uses for the element.

Every one of those statements is wrong.

Back then, the Friedmans made three powerful factual claims about how the world works claims that seemed true or maybe true or at least arguably true at the time, but that now seem to be pretty clearly false.

Then the theory at hand, which is assumed to prove certain facts about numbers, also proves facts about its own statements, provided that it is effectively generated.

Questions about the provability of statements are represented as questions about the properties of numbers, which would be decidable by the theory if it were complete.

His own books on martial arts and fighting philosophy are known for their philosophical assertions, both inside and outside of martial arts circles.

But there is no persuasive evidence of either.

All economic propositions are if then statements.

Variants There are many other equivalent statements of the axiom of choice.

Statements such as the Banach Tarski paradox can be rephrased as conditional statements, for example, If AC holds, then the decomposition in the Banach Tarski paradox exists.

For any such system, there will always be statements about the natural numbers that are true, but that are unprovable within the system.

Such assertions were also forwarded by BBC columnist Tim Vickery.

To be sure, Romney and Ryan have failed to provide specifics about how they would reduce the fiscal deficit, relying on trust me assertions.

The cost is yet another generation of Middle Eastern youth who will believe the worst about the US, no matter how far fetched the rumor or extreme the claim.

Homosexuals are riding high in the media ... And in Scotland, you can't believe how strong the homosexuals are.

Bonk author Mary Roach delves into obscure scientific research, some of it centuries old, to make 10 surprising claims about sexual climax, ranging from the bizarre to the hilarious.

Les Afriques magazine's statements on France's role are mainly based on Thomas Deltombe's March 2012 article in Le Monde Diplomatique to support his arguments.

To prove the first incompleteness theorem, Gödel represented statements by numbers.

Axiomatization In mathematics, axiomatization is the formulation of a system of statements (i.e.

On 25 June, an assembly of lords and commoners endorsed the claims.

Here the approach to the philosophy of science is to study how scientific communities actually operate.

Moreover, according to Russell, statements regarding God's essence and existence that are reached within the Aristotelian logic are based on some kind of syntactical confusion, without which much of the argumentation about God would lose its plausibility.

For example, one might take all true statements about the natural numbers to be axioms (and no false statements), which gives the theory known as true arithmetic .

However, in her 2005 autobiography, My Life So Far , she rejected such simplification.

Nor is Romney s promise to enact immediate cuts in federal discretionary spending by an additional 5 likely to boost job growth, as he asserts.

Däniken also asserts the existence of a legend saying that a god gave the map to a priest, the god being an extraterrestrial being.

Mowbray vehemently denied these charges, as such a claim would have amounted to treason.

If he is indeed lying, he is telling the truth, which means he is lying...

However, a literary world is a specific type of possible world, quite distinct from the possible worlds in logic.

Having failed to predict the US crisis, he then incorrectly predicted the imminent disintegration of Europe s monetary union, publishing more than 20 statements on that subject in 2011 and 2012.

Jelena Milic quoted statements by two Serbian ministers who have justified violence below is one of these quotes

Iha responded to Corgan's claims in 2005, saying, No, I didn't break up the band.

The third, B', a balance to B, emphasizes (rather) love one another .

Conflicting statements about L. Ron Hubbard's life, in particular accounts of Hubbard discussing his intent to start a religion for profit and of his service in the military.

The Nova documentary The Case of the Ancient Astronauts shows that all the claims made by von Däniken about the Pyramid of Cheops were wrong in all accounts.

Examples of category theoretic statements which require choice include Every small category has a skeleton.

Examples of undecidable statements There are two distinct senses of the word undecidable in mathematics and computer science.

Gödel proved in 1940 that neither of these statements could be disproved in ZF or ZFC set theory.

Gregory Chaitin produced undecidable statements in algorithmic information theory and proved another incompleteness theorem in that setting.

Undecidable statements provable in larger systems These are natural mathematical equivalents of the Gödel true but undecidable sentence.

It is also common for a theorem to be preceded by a number of propositions or lemmas which are then used in the proof.

While Lord Danby seems to have been rightly sceptical about Oates's claims, the Cavalier Parliament took them seriously.

Archaeological evidence, such as the Serpent Column (now in the Hippodrome of Istanbul), also supports some of Herodotus' specific claims.

By collecting a sufficiently large sample of projects from a variety of regions and a variety of thematic categories, we can begin to make statements about their strengths and weaknesses and their role in the larger accountability ecosystem.