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mathematical explanations

The directionality of distinctively mathematical explanations

The directionality of distinctively mathematical explanations

... mechanistic explanations into distinctively mathematical explanations: simply package all of the empirical conditions, such as the rectilinear propagation of light, or the Euclidean nature of ...

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Mathematical Explanations and the Piecemeal Approach to Thinking About Explanation

Mathematical Explanations and the Piecemeal Approach to Thinking About Explanation

... The piecemeal approach is a relatively new but fairly widespread strategy for dealing with explanation related philosophical topics. But how good is it? Until now I tried to make a little bit clearer what this approach ...

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Platonic Relations and Mathematical Explanations

Platonic Relations and Mathematical Explanations

... certain explanations locate mathematical facts on which their ex- plananda depend, via a sui generis, non-causal dependence relation; Sam Baron, Mark Colyvan, David Ripley, and Mark Povich suggest that ...

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Students' Production and Processing of Mathematical Explanations.

Students' Production and Processing of Mathematical Explanations.

... with mathematical content (Hill et ...of mathematical concepts, or justify and reason about their ...provide mathematical explanations spontaneously or upon request by the ...

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Gravitational Model of the Three Elements Theory: Mathematical Explanations

Gravitational Model of the Three Elements Theory: Mathematical Explanations

... Moreover, this geometrical sensitive description of re- ality allows the construction of the three elements theory, a unifying theory [4]. This theory is fully understandable in this geometrical and deterministic manner. ...

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Complements, not competitors: causal and mathematical explanations

Complements, not competitors: causal and mathematical explanations

... There is a weaker and a stronger version of the claim that these explanations complement rather than compete, and in what follows I argue for both. The weaker claim is that a more precise specification of a broad ...

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Modality and constitution in distinctively mathematical explanations

Modality and constitution in distinctively mathematical explanations

... It turns out that Craver and Povich’s (2017) “reversals” do not rely on task-constitution only because their explananda are characterized in a certain way. Each of their “reversals” can easily be rewritten as examples ...

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Unifying the debates: mathematical and non-causal explanations

Unifying the debates: mathematical and non-causal explanations

... and mathematical explanations in their own right, without comparative perspective to causal explanations, and even more importantly, the lack of discussions about the epistemic norms that specific ...

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Viewing-as explanations and ontic dependence

Viewing-as explanations and ontic dependence

... that mathematical explanations aren’t explanations in the usual ...that mathematical and scientific explanations often aren’t so different at all; ...

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Abstract versus causal explanations?

Abstract versus causal explanations?

... scientific explanations, a consensus is emerging that one finds two significantly different kinds of explanation: there are both causal and non-causal explanations in the ...non-causal explanations, ...

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How Mathematical Knowledge for Teaching Intersects with Teaching Practices: The Knowledge and Reasoning Entailed in Selecting Examples and Giving Explanations in Secondary Mathematics.

How Mathematical Knowledge for Teaching Intersects with Teaching Practices: The Knowledge and Reasoning Entailed in Selecting Examples and Giving Explanations in Secondary Mathematics.

... Despite their centrality in mathematics teaching, much remains unspecified and tacit about the two practices of selecting examples and giving explanations. Each is used frequently, for a range of purposes, and ...

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Listen for detail in narratives and explanations Listen for detail in narratives and explanations Give personal information

Listen for detail in narratives and explanations Listen for detail in narratives and explanations Give personal information

... Use stress, intonation and pronunciation to be understood and make meaning clear Recognise context and predict meaning in a range of listening texts and oral interactions Recognise context and predict meaning in a range ...

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On (Some) Explanations in Physics

On (Some) Explanations in Physics

... full mathematical argument ...involves explanations of “universality”— properties that families of systems have at a given distance scale, irrespective of their microscopic ...

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The Metaphysics of Moral Explanations

The Metaphysics of Moral Explanations

... recent explanations of supervenience resemble the D&C strategy, none are fully ...in explanations of supervenience, though neither pays sufficient attention to data points (ii) and ...

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Network explanations and explanatory directionality

Network explanations and explanatory directionality

... a mathematical sense) of the graph typically associated with K¨ onigsberg’s bridge system rather than a question about the possibility of making a certain journey across the physical K¨ ...

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THE NEED FOR RATIONALE EXPLANATIONS OF HOMEOPATHY

THE NEED FOR RATIONALE EXPLANATIONS OF HOMEOPATHY

... No effects on cell viability or gene expression Thuja occidentalis 1000c, Conium maculatum 1000c, Sabal serrulata 200c Tumor cell viability and. apoptosis gene expression Prostate tumor [r] ...

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On Explanations from 'Geometry of Motion'

On Explanations from 'Geometry of Motion'

... There are actually two distinct issues here, one concerning the value of drawing the distinction in causal terms, the other concerning the value of drawing the distinction at all. I care more profoundly about the latter ...

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Essentially narrative explanations.

Essentially narrative explanations.

... 24 Currie’s far-ranging discussion intersects with many of the point raised here, although his way of drawing some of the distinctions that I rehearse utilize his own terminology, e.g., his distinction between “simple” ...

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The Fertility Transition: Economic Explanations

The Fertility Transition: Economic Explanations

... If the schooling decision is made by the child’s parents, it may also be argued that the woman’s schooling is unaffected by her adult preferences between labor market and fertility choic[r] ...

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Appendix 1. DEFINITIONS AND EXPLANATIONS

Appendix 1. DEFINITIONS AND EXPLANATIONS

... Recorded in the past year Laboratory Results, or Health Maintenance, or Problem List, or Diagnoses, or Procedures, or Medications Pneumococcal Patients ages 65 years. and older[r] ...

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