Transfinite induction (1522 bytes)
2: ... regarded as one of [[three forms of mathematical induction]].
4: ...s for all ordinals then you can apply transfinite induction:
15: [[de:Transfinite Induktion]]

Transfinite number (1391 bytes)
2: '''Transfinite numbers''', also known as [[infinite]] numbers, a...
4: ...s. Unlike the finite ordinals and cardinals, the transfinite ordinals and cardinals define different classes o...
6: * The lowest transfinite [[ordinal number]] is ω.
8: * The first transfinite [[cardinal number]] is [[aleph-null]], <math>\ale...
12: ...both the cardinal and ordinal number systems, the transfinite numbers can keep on going forever, with progressi...

Forced induction (951 bytes)
1: '''Forced induction''' is a term used to describe [[internal combusti...
3: ... without an increase in physical size. The forced induction approach has the advantage that the intake pressu...
5: The two different forced induction technologies in common use are [[supercharger]]s ...

Electrostatic induction (1462 bytes)
1: '''Electrostatic induction''' is a method by which an [[electrical charge|el...

Induction heating (567 bytes)
1: ...the domestic kitchen heating in the form of the [[induction cooker]]. This process can also be used for elimi...

Induction cooker (562 bytes)
1: ...ing and vastly improved thermal efficiency. An '''Induction Cooker''' is also cleaner because it does not pro...
3: '''Induction Cookers''' range from customized flush countertop...

Induction range (1054 bytes)
3: ...an reportedly put your hand directly on a working induction "burner" without harm). Also no heat is lost to ...

Complete induction (868 bytes)
1: ..., is a variant on the principle of [[mathematical induction]]. The [[inductive hypothesis]], instead of bein...
9: ...ction|regular induction]] is provable with strong induction.
11: ...ite a strong induction argument as a conventional induction. This is sometimes done implicitly, as in [[minim...

Induction (disambiguation) (788 bytes)
1: The term '''''induction''''' has more than one meaning in the English lan...
2: *[[Induction (philosophy)|Induction]] in the field of [[philosophy]]
3: *[[Mathematical induction]] in the field of [[mathematics]]
4: **[[Transfinite induction]] is a special case of the above
5: ...l induction]] is a generalization of mathematical induction

Induction (birth) (1292 bytes)
1: '''Induction''' is a way of artificially bringing on [[childbi...
3: Common causes for induction include:
10: == Methods of induction ==
17: If induction does not work, a [[Caesarean section]] may be req...
21: ...tml Current Trends in Cervical Ripening and Labor Induction]" American Family Physician 1999; 60:477-84.

Induction (philosophy) (5144 bytes)
1: ... For other article subjects named induction see [[induction]].''
3: ...s of recurring [[phenomena|phenomenal]] patterns. Induction is used, for example, in using
12: ...logic, but it is controversial whether a logic of induction is even possible. In contrast to [[deductive reas...
14: ...assic philosophical treatment of the [[problem of induction]], meaning the search for a justification for ind...
16: ...based on common-sense, where the inevitability of induction is accepted.

Structural induction (5570 bytes)
2: ... fields. It is a generalization of [[mathematical induction]].
4: ...t [] is the unique minimal element. A structural induction proof of some proposition ''P''(''l'') then consi...
23: ... lists ''l''. We will prove this by structural induction on lists.
36: so we can express it as (''x:xs''). The induction hypothesis is that
51: As this is just the induction hypothesis, we're done.

Induction flowmeters (807 bytes)
1: '''Induction flowmeters''' (also known as [[electromagnetic]] ...

Problem of induction (3679 bytes)
1: ...alled [[inductive reasoning]], but the problem of induction is whether inductive reason works. That is, what ...
6: ... series; it does not establish the reliability of induction, except inductively. The problem is, then, what j...
8: ...iability|falsification]] instead. Popper replaced induction with deduction, in effect making [[modus tollens]...
10: [[Isaac Newton]] considered induction the basis of scientific method at least in his "O...
12: ...n time, and blue thereafter. The "new" problem of induction is, how can we know that grass is indeed green, a...

Electromagnetic induction (2147 bytes)
1: ...eration of [[electrical generator|generator]]s, [[induction motor]]s, [[transformers]] and most other [[elect...
3: ...w of induction|Faraday's law]] of electromagnetic induction states that
24: *[[Induction motor]]s
28: *Electric cookers with [[induction hob]]s.
29: *[[Induction welding]]

Mathematical induction (7718 bytes)
1: ...ted are equivalent; this is known as [[structural induction]].
3: The simplest and most common form of mathematical induction proves that a statement holds for all natural num...
5: ...hypothesis'''. Do not call step 2 as a whole the induction hypothesis.)
50: However, by induction, we may now conclude that the statement P(''n'') ...
62: ...''n'' &ge; 3. Note that this form of mathematical induction is actually a special case of the previous form b...

Deduction and induction (127 bytes)
3: *[[deductive logic]] and [[Induction (philosophy)|inductive reasoning]], or

Induction welding (1291 bytes)
1: ...e workpiece. The welding apparatus contains an [[induction coil]] that is energised with a [[RF|radio-freque...
3: ..., that absorb the electromagnetic energy from the induction coil, become hot, and lose their heat energy to t...

Induction coil (1258 bytes)
1: The term '''induction coil''', in current usage, usually refers to a pa...
3: The induction coil was discovered in early experiments with ele...
5: ...t and intended to induce some effect such as in [[induction heating]] or [[zone melting]].
7: '''Induction Coil''' was also the title of [[William Stanley (...

Induction hob (1238 bytes)
1: ...' is a [[cooker]] hob that uses [[electromagnetic induction]] in the [[hob]] to heat a [[metal]] cooking pot....
3: ...sis]] loop. This is primary source of heat in an induction hob.

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