One way is Cantor's diagonal argument. See link.
It is uncountable, because it contains infinite amount of numbers
"Pizza" can be both a countable and uncountable noun, depending on the context. When referring to whole pizzas, it is countable (e.g., "I ordered three pizzas"). However, when referring to pizza in a general sense or as a type of food, it can be uncountable (e.g., "I love pizza").
The countable nouns are nouns with a singularand a plural form.The uncountable nouns are also called mass nouns.
Cash is generally considered uncountable when referring to money in general terms, as it represents a collective amount rather than individual units. However, when discussing specific denominations or amounts, it can be treated as countable—like saying "three $20 bills." In everyday usage, it’s common to treat cash as uncountable when discussing overall wealth or resources.
No, the noun 'rain' is a singular, uncountable (mass) noun as a word for water drops falling from clouds; a word for percipitation.The plural noun 'rains' is a plural uncountable (mass) noun as a word specifically for seasons or periods of rain.
Proof By Contradiction:Claim: R\Q = Set of irrationals is countable.Then R = Q union (R\Q)Since Q is countable, and R\Q is countable (by claim), R is countable because the union of countable sets is countable.But this is a contradiction since R is uncountable (Cantor's Diagonal Argument).Thus, R\Q is uncountable.
To show that the set of irrational numbers is uncountable, you can use Cantor's diagonal argument. First, assume that the set of irrational numbers is countable and list them in a sequence. By constructing a new number that differs from each listed irrational number at a specific decimal place, you can demonstrate that this new number is also irrational and not in the original list, leading to a contradiction. Thus, the set of irrational numbers must be uncountable.
It is uncountable, because it contains infinite amount of numbers
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Transport is both countable and uncountable as a noun.
The noun 'daytime' is an uncountable noun.
The noun 'steel' is an uncountable (mass) noun, a word for a substance.
The word 'violence' is an uncountable noun.
The noun 'health' is an uncountable noun, a word for a condition.
"Bun" can be both countable and uncountable. For example, you can say "I bought five buns" or "I would like some bun with my soup."