A couple of disclaimers first: I teach nursing, not math. I minored in math in undergrad and actually took 2 mathematical logic classes. Coming from the nursing perspective, my students typically have difficulty with math and freak out at having to take a basic statistics course. Mathematical logic is considered an upper division math course so that would induce fear, trembling, nausea and vomiting in the average nursing student. In recent memory I cannot even think of a single one of my nursing students that has ventured beyond basic statistics.
From my perspective as a math minor - I loved my basic mathematical logic course (symbolic logic) and eagerly took the next level course. However, many of the fellow students in my class in the basic course seemed to struggle. The advanced course was an elective so that was not an issue. I am not sure why my peers seemed to struggle except that it went beyond simply numerical operations. Not sure this really helped clarify anything!
Muchos estudiantes ingresan a los programas de educación inicial con una preparación insuficiente en matemáticas avanzadas. Esto se traduce en dificultades para entender y aplicar los conceptos de lógica matemática, que a menudo requieren un conocimiento previo en álgebra y otros temas relacionados.
Estoy 100% de acuerdo. Me sorprende un poco que paises distintos de los Estados Unidos experimenten esto. Yo soy educado en Europa y tenia una solida education matematica
Yes, learning Mathematical Logic can indeed be a difficult task for students in higher education institutions. Many students struggle with the abstract and rigorous nature of the subject, which requires strong analytical and problem-solving skills.
In my experience, this difficulty is particularly evident among students in computer science, mathematics, and philosophy specialties. These fields heavily rely on logical reasoning and formal systems, and students often find the transition from intuitive thinking to formal, symbolic manipulation challenging. The abstract concepts, such as proofs, logical connectives, and quantifiers, can be especially tough for those not used to this level of mathematical rigor.
Overall, while Mathematical Logic is a crucial component of these disciplines, it often poses significant challenges for students, impacting their success rates in this area.
Yes, teaching mathematics is considered one of the difficulties faced by education in the educational system, except in very specialized classes. Mathematical logic cannot determine the difficulty because there is no diagnosis and analysis of the subject. The question can be asked: How can mathematical logic be evaluated?نعم تعتبر تعليمية الرياضيات من الصعوبات التي يعانيها التعليم في امنظومة التربوية الا في الشعب المتخصصة جدا ، المنطق الرياضي لايمكن تحديد الصعوبة لعدم وجود تشخيص وتحليل للموضوع له يمكن طرح السؤال كيف يمكن تقييم المنطق الرياضي؟
Nicole Price Thank you for your comment. And yes, you have clarified a lot.
At least for me, It is a news the studying of Logic in Medicine related specialties, although, carefully analyzing it makes sense: There inferential abilities are needed, both inductive and deductive (think only about diagnosis and prescriptions).
Then, where is the problem? I can guess it is in the FORMAL language applied to represent the different parts of the inference, on the one hand, and on the other, in the abstraction. In practical, usual situations, inferences are done taking into account concrete, individual cases. The way of Logic is presented to students have more to do with general, abstract situations.
Then, from the above, could be concluded that, when Logic is learned, it should be considered what part of it the student needs/will need, and how it should be represented...
Jorge Ríos I agree. One of the factors is is in the previous obtained knowledge and abilities, more exactly, the lack of them.
And, yes, algebraic formalism can be useful, even needed, but the essential problems are beyond that, their roots are general capacities for some mental functions, particularly inference and abstraction capabilities.
Edsel Mandalones You have pointed out and important factor: when Logic is usually studied.
Most of undergraduate specialties, included those mentioned by you, are studied when the young students are in a transitional stage of their life when they are not obtained specific level of psychological development, by lack of appropriated studies (Vigotsky), leading to the needed level of knowledge, or by lack of the needed psychological development, which is necessary for learning the given subject (Piaget).
Rey Segundo Guerrero-Proenza you have completely captured my thinking on the subject of mathematical logic and the medical sciences.! Thanks so much for that! It has always been said that medicine (and nursing) is both an art and a science and the art comes from being able to assess a patient and figure out what is going on. The bottom line is one needs to use both inductive and deductive reasoning to apply knowledge that one has to a specific patient. The issue is that we (or many, if not most) are not born knowing how to use inductive and deductive reasoning. This is why courses like mathematical logic, and yes, statistics, are so important. I also think that is why such courses are feared by many - the learner is required to do something beyond the simple operations of addition, subtraction, multiplication and division (which some still have difficulty doing).