Prime Minister of the United KingdomThe prime minister of the United Kingdom is the head of government of the United Kingdom. The prime minister advises the sovereign on the exercise of much of the royal prerogative, chairs the Cabinet and selects its ministers. As modern prime ministers hold office by virtue of their ability to command the confidence of the House of Commons, they sit as members of Parliament. The office of prime minister is not established by any statute or constitutional document, but exists only by long-established convention, whereby the monarch appoints as prime minister the person most likely to command the confidence of the House of Commons.
Prime Minister of PakistanThe prime minister of Pakistan (, romanized: Wazīr ē Aʿẓam Grand Vizier, ʋəˈziːr-ˌeː ˈɑː.zəm) is the head of government of the Islamic Republic of Pakistan. Executive authority is vested in the prime minister and his chosen cabinet, despite the president of Pakistan serving as the nominal head of executive. The prime minister is often the leader of the party or the coalition with a majority in the lower house of the Parliament of Pakistan, the National Assembly where he serves as Leader of the House.
Prime Minister of IndiaThe prime minister of India (IAST: ) is the head of government of the Republic of India. Executive authority is vested in the prime minister and his chosen Council of Ministers, despite the president of India being the nominal head of the executive. The prime minister is often the leader of the party or the coalition with a majority in the lower house of the Parliament of India, the Lok Sabha, which is the main legislative body in the Republic of India. The prime minister and their cabinet are at all times responsible to the Lok Sabha.
Problem of inductionFirst formulated by David Hume, the problem of induction questions our reasons for believing that the future will resemble the past, or more broadly it questions predictions about unobserved things based on previous observations. This inference from the observed to the unobserved is known as "inductive inferences", and Hume, while acknowledging that everyone does and must make such inferences, argued that there is no non-circular way to justify them, thereby undermining one of the Enlightenment pillars of rationality.
Associative propertyIn mathematics, the associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs. Within an expression containing two or more occurrences in a row of the same associative operator, the order in which the operations are performed does not matter as long as the sequence of the operands is not changed.
