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==Probabilistic language logic in medicine==
Every scientific idea—whether in medicine, architecture, engineering, chemistry, or any other field—when implemented, is prone to small errors and uncertainties. Mathematics, through the lens of probability theory and statistical inference, aids in precisely managing and thereby mitigating these uncertainties. It must always be considered that in all practical scenarios, "the outcomes also depend on many other external factors to the theory," be they initial and environmental conditions, experimental errors, or others.


Every scientific idea (whether in medicine, architecture, engineering, chemistry, or any other subject), when put into practice, is subject to small errors and uncertainties. Mathematics - through probability theory and statistical inference - helps to precisely control and thereby contain these uncertainties. It always has to be considered that in all practical cases "the outcomes also depend on many other factors external to the theory", whether they be initial and environmental conditions, experimental errors, or something else.
The uncertainties surrounding these factors render the theory-observation relationship probabilistic. In medical practice, two types of uncertainty predominantly impact diagnoses: subjective uncertainty and causality.<ref>{{Cite book | autore = Vázquez-Delgado E | autore2 = Cascos-Romero J | autore3 = Gay-Escoda C | titolo = Myofascial pain associated with trigger points: a literature review. Part 2: Differential diagnosis and treatment | url = http://www.medicinaoral.com/pubmed/medoralv15_i4_pe639.pdf | volume = | opera = Med Oral Patol Oral Cir Bucal | anno = 2007 | editore = | città = | ISBN = | PMID = 20173729 | PMCID = | DOI = 10.4317/medoral.15.e639 | oaf = <!-- any value --> | LCCN = | OCLC = }}</ref><ref>{{Cite book | autore = Thoppay J | autore2 = Desai B | titolo = Oral burning: local and systemic connection for a patient-centric approach | url = https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6459460/ | volume = | opera = EPMA J | anno = 2019 | editore = | città = | ISBN = | PMID = 30984309 | PMCID = PMC6459460 | DOI = 10.1007/s13167-018-0157-3 | oaf = <!-- any value --> | LCCN = | OCLC = }}</ref> Therefore, in this context, it becomes crucial to differentiate between these two uncertainties and to demonstrate that the concept of probability assumes different meanings in these contexts. We will endeavor to elucidate these concepts by connecting each critical step to the clinical approach that has been documented in previous chapters, particularly focusing on the dental and neurological domains in vying for diagnostic supremacy for our dear Mary Poppins.
 
All the uncertainties about these factors make the theory–observation relationship a probabilistic one. In the medical approach, there are two types of uncertainty that weigh the most on diagnoses: subjective uncertainty and casuality.<ref>{{Cite book  
| autore = Vázquez-Delgado E
| autore2 = Cascos-Romero J
| autore3 = Gay-Escoda C
| titolo = Myofascial pain associated to trigger points: a literature review. Part 2: differential diagnosis and treatment
| url = http://www.medicinaoral.com/pubmed/medoralv15_i4_pe639.pdf
| volume =  
| opera = Med Oral Patol Oral Cir Bucal
| anno = 2007
| editore =  
| città =  
| ISBN =  
| PMID = 20173729  
| PMCID =  
| DOI = 10.4317/medoral.15.e639
| oaf = <!-- qualsiasi valore -->
| LCCN =  
| OCLC =  
}}</ref><ref>{{Cite book  
| autore = Thoppay J
| autore2 = Desai B
| titolo = Oral burning: local and systemic connection for a patient-centric approach
| url = https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6459460/
| volume =  
| opera = EPMA J
| anno = 2019
| editore =  
| città =  
| ISBN =  
| PMID = 30984309  
| PMCID = PMC6459460
| DOI = 10.1007/s13167-018-0157-3
| oaf = <!-- qualsiasi valore -->
| LCCN =  
| OCLC =  
}}</ref>It becomes essential, therefore, in this scenario to distinguish between these two uncertainties and to show that the concept of probability has different meanings in these two contexts.
We will try to expose these concepts by linking each crucial step to the clinical approach that has been reported in the previous chapters and in particular the approach in the dental and neurological context in contending for the primacy of the diagnosis for our dear Mary Poppins.

Latest revision as of 19:44, 29 March 2024

Every scientific idea—whether in medicine, architecture, engineering, chemistry, or any other field—when implemented, is prone to small errors and uncertainties. Mathematics, through the lens of probability theory and statistical inference, aids in precisely managing and thereby mitigating these uncertainties. It must always be considered that in all practical scenarios, "the outcomes also depend on many other external factors to the theory," be they initial and environmental conditions, experimental errors, or others.

The uncertainties surrounding these factors render the theory-observation relationship probabilistic. In medical practice, two types of uncertainty predominantly impact diagnoses: subjective uncertainty and causality.[1][2] Therefore, in this context, it becomes crucial to differentiate between these two uncertainties and to demonstrate that the concept of probability assumes different meanings in these contexts. We will endeavor to elucidate these concepts by connecting each critical step to the clinical approach that has been documented in previous chapters, particularly focusing on the dental and neurological domains in vying for diagnostic supremacy for our dear Mary Poppins.