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| [[File:Spasmo_emimasticatorio_JJ.jpg|alt=|left|250x250px]] | | [[File:Spasmo_emimasticatorio_JJ.jpg|alt=|left|250x250px]] |
− | In this chapter, we will discuss the logic of language coupled with mathematical probability. We have seen that classical logic alone is insufficient to determine accurate diagnoses; hence, a conceptual and formal overview is given on why probability can be very useful. | + | In this chapter, we will discuss the logic of language coupled with mathematical probability. We have seen that classical logic alone is insufficient to determine accurate diagnoses; hence, a conceptual and formal overview is given on why probability can be very useful. By always providing illustrations of instances of clinical cases, we will see how the logic of probabilistic language is able to provide us a differential diagnosis in a ‘good enough’ way. The conclusion is that it is possible to demonstrate that even with the addition of probabilistic reasoning alone, it is not possible to determine exact diagnoses, and, so, other enrichments are being sought for our language. {{ArtBy| |
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− | By always providing illustrations of instances of clinical cases, we will see how the logic of probabilistic language is able to provide us a differential diagnosis in a ‘good enough’ way. | |
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− | The conclusion is that it is possible to demonstrate that even with the addition of probabilistic reasoning alone, it is not possible to determine exact diagnoses, and, so, other enrichments are being sought for our language. | |
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| | autore = Gianni Frisardi | | | autore = Gianni Frisardi |
| | autore2 = Riccardo Azzali | | | autore2 = Riccardo Azzali |
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− | <math>rc=P(E_2 \mid E_1)- P(E_2 \mid E_3)</math>, | + | <math>rc=P(E_2 \mid E_1)- P(E_2 \mid E_3)</math> |
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− | {{Rosso inizio}}where <math>P(E_1 \mid E_2)</math> indicates the probability that some people (among <math>n</math> taken into consideration) suffer from Orofacial Pain caused by bone degeneration of the Temporomandibular Joint, while <math>P(E_1 \mid E_3)</math> indicates the probability that other people (always among <math>n</math> taken into consideration) suffer from Orofacial Pain conditioned by something other than bone degeneration of the Temporomandibular Joint.{{Rosso Fine}}
| + | where <math>P(E_2 \mid E_1)</math>indicates the probability that some people (among <nowiki><math>n</math></nowiki> taken into consideration) suffer from Orofacial Pain caused by bone degeneration of the Temporomandibular Joint, while <math>P(E_2 \mid E_3)</math>indicates the probability that other people (always among <nowiki><math>n</math></nowiki> taken into consideration) suffer from Orofacial Pain conditioned by something other than bone degeneration of the Temporomandibular Joint. |
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| File:EMG2.jpg|'''Figure 5:''' EMG Interferential Pattern. Overlapping upper traces corresponding to the right masseter, lower to the left masseter. | | File:EMG2.jpg|'''Figure 5:''' EMG Interferential Pattern. Overlapping upper traces corresponding to the right masseter, lower to the left masseter. |
| </gallery> | | </gallery> |
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| <br />So be it then <math>P(D)</math> the probability of finding, in the sample of ours <math>n</math> people, individuals who present the elements belonging to the aforementioned set <math>D=\{\delta_1,\delta_2,...,\delta_n\}</math> | | <br />So be it then <math>P(D)</math> the probability of finding, in the sample of ours <math>n</math> people, individuals who present the elements belonging to the aforementioned set <math>D=\{\delta_1,\delta_2,...,\delta_n\}</math> |
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| File:Spasmo emimasticatorio assiografia.jpg|'''Figure 4:''' Axiography of the patient showing a flattening of the chewing pattern on the right condyle | | File:Spasmo emimasticatorio assiografia.jpg|'''Figure 4:''' Axiography of the patient showing a flattening of the chewing pattern on the right condyle |
| File:EMG2.jpg|'''Figure 5:''' EMG Interferential Pattern. Overlapping upper traces corresponding to the right masseter, lower to the left masseter. | | File:EMG2.jpg|'''Figure 5:''' EMG Interferential Pattern. Overlapping upper traces corresponding to the right masseter, lower to the left masseter. |
− | File:Spasmo emimasticatorio JJ.jpg|'''Figur6 6:''' Jaw jerk electrophysiologically detected on the right (upper traces) and left (lower traces) masseters | + | File:Spasmo emimasticatorio JJ.jpg|'''Figure 6:''' Jaw jerk electrophysiologically detected on the right (upper traces) and left (lower traces) masseters |
| File:Spasmo emimasticatorio SP.jpg|'''Figure 7:''' Mechanical silent period detected electrophysiologically on the right (upper overlapping traces) and left (lower overlapping traces) masseters | | File:Spasmo emimasticatorio SP.jpg|'''Figure 7:''' Mechanical silent period detected electrophysiologically on the right (upper overlapping traces) and left (lower overlapping traces) masseters |
| File:Spasmo emimasticatorio TC.jpg|'''Figure 8:''' Axial CT of the facial massif in which there is a marked hypertrophy of the right masseter | | File:Spasmo emimasticatorio TC.jpg|'''Figure 8:''' Axial CT of the facial massif in which there is a marked hypertrophy of the right masseter |