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Deduction may refer to: Philosophy * Deductive reasoning, the mental process of drawing inferences in which the truth of their premises ensures the truth of their conclusion * Natural deduction, a class of proof systems based on simple and self-evident rules of inference that aim to closely mirror how reasoning actually occurs Taxation * Tax deduction, variable tax dollars subtracted from gross income ** Itemized deduction, eligible expense that individual taxpayers in the United States can report on their Federal income tax returns ** Standard deduction, dollar amount that non-itemizers may subtract from their income Other uses * English modals of deduction, English modal verbs to state how sure somebody is about something. * Deduction (food stamps), used in the United States to calculate a household's monthly food stamp benefit goods See also * Induction (other) Induction or inductive may refer to: Biology and medicine * Labor induction (of birth) * ...
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Deductive Reasoning
Deductive reasoning is the process of drawing valid inferences. An inference is valid if its conclusion follows logically from its premises, meaning that it is impossible for the premises to be true and the conclusion to be false. For example, the inference from the premises "all men are mortal" and " Socrates is a man" to the conclusion "Socrates is mortal" is deductively valid. An argument is ''sound'' if it is valid ''and'' all its premises are true. One approach defines deduction in terms of the intentions of the author: they have to intend for the premises to offer deductive support to the conclusion. With the help of this modification, it is possible to distinguish valid from invalid deductive reasoning: it is invalid if the author's belief about the deductive support is false, but even invalid deductive reasoning is a form of deductive reasoning. Deductive logic studies under what conditions an argument is valid. According to the semantic approach, an argument is valid ...
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Natural Deduction
In logic and proof theory, natural deduction is a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to the "natural" way of reasoning. This contrasts with Hilbert-style systems, which instead use axioms as much as possible to express the logical laws of deductive reasoning. History Natural deduction grew out of a context of dissatisfaction with the axiomatizations of deductive reasoning common to the systems of Hilbert, Frege, and Russell (see, e.g., Hilbert system). Such axiomatizations were most famously used by Russell and Whitehead in their mathematical treatise ''Principia Mathematica''. Spurred on by a series of seminars in Poland in 1926 by Łukasiewicz that advocated a more natural treatment of logic, Jaśkowski made the earliest attempts at defining a more natural deduction, first in 1929 using a diagrammatic notation, and later updating his proposal in a sequence of papers in 1934 and 1935. His proposals led to d ...
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Tax Deduction
A tax deduction or benefit is an amount deducted from taxable income, usually based on expenses such as those incurred to produce additional income. Tax deductions are a form of tax incentives, along with exemptions and tax credits. The difference between deductions, exemptions, and credits is that deductions and exemptions both reduce taxable income, while credits reduce tax. Above and below the line Above and below the line refers to items above or below adjusted gross income, which is item 37 on the tax year 2017 1040 tax form. Tax deductions above the line lessen adjusted gross income, while deductions below the line can only lessen taxable income if the aggregate of those deductions exceeds the standard deduction, which in tax year 2018 in the U.S., for example, was $12,000 for a single taxpayer and $24,000 for married couple. Limitations Often, deductions are subject to conditions, such as being allowed only for expenses incurred that produce current benefits. Capital ...
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Itemized Deduction
Under United States tax law, itemized deductions are eligible expenses that individual taxpayers can claim on federal income Tax return (United States), tax returns and which decrease their taxable income, and are claimable in place of a standard deduction, if available. Most taxpayers are allowed a choice between itemized deductions and the standard deduction. After computing their adjusted gross income (AGI), taxpayers can itemize deductions (from a list of allowable items) and subtract those itemized deductions from their AGI amount to arrive at the taxable income. Alternatively, they can elect to subtract the standard deduction for their filing status to arrive at the taxable income. In other words, the taxpayer may generally deduct the total itemized deduction amount or the applicable standard deduction amount, whichever is greater. The choice between the standard deduction and itemizing involves a number of considerations: * Only a taxpayer eligible for the standard deducti ...
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Standard Deduction
Under United States tax law, the standard deduction is a dollar amount that non- itemizers may subtract from their income before income tax (but not other kinds of tax, such as payroll tax) is applied. Taxpayers may choose either itemized deductions or the standard deduction, but usually choose whichever results in the lesser amount of tax payable. The standard deduction is available to individuals who are US citizens or resident aliens. The standard deduction is based on filing status and typically increases each year, based on inflation measurements from the previous year. It is not available to nonresident aliens residing in the United States (with few exceptions, for example, students from India on F1 visa status can use the standard deduction). Additional amounts are available for persons who are blind and/or are at least 65 years of age. The standard deduction is distinct from the personal exemption, which was set to $0 by the Tax Cuts and Jobs Act of 2017 for tax yea ...
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English Modals Of Deduction
Epistemic modality is a sub-type of linguistic modality that encompasses knowledge, belief, or credence in a proposition. Epistemic modality is exemplified by the English modals ''may'', ''might'', ''must''. However, it occurs cross-linguistically, encoded in a wide variety of lexical items and grammatical structures. Epistemic modality has been studied from many perspectives within linguistics and philosophy. It is one of the most studied phenomena in formal semantics. Realisation in speech * (a) ''grammatically'': through ** modal verbs (e.g., English: ''may'', ''might'', ''must''; : ''Er soll ein guter Schachspieler sein'' "He is said to be a good chess player"), ** particular grammatical moods on verbs, the epistemic moods, or ** a specific grammatical element, such as an affix ( Tuyuca: ''-hīyi'' "reasonable to assume") or particle; or * (b) ''non-grammatically'' (often lexically): through ** adverbials (e.g., English: ''perhaps'', ''possibly''), or ** a certain int ...
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Deduction (food Stamps)
In the United States, the Supplemental Nutrition Assistance Program (SNAP), formerly known as the Food Stamp Program, is a federal government program that provides food-purchasing assistance for low- and no-income persons to help them maintain adequate nutrition and health. It is a federal aid program administered by the U.S. Department of Agriculture (USDA) under the Food and Nutrition Service (FNS), though benefits are distributed by specific departments of U.S. states (e.g., the Division of Social Services, the Department of Health and Human Services, etc.). SNAP benefits supplied roughly 40 million Americans in 2018, at an expenditure of $57.1 billion. Approximately 9.2% of American households obtained SNAP benefits at some point during 2017, with approximately 16.7% of all children living in households with SNAP benefits. Beneficiaries and costs increased sharply with the Great Recession, peaked in 2013 and declined through 2017 as the economy recovered. It is t ...
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