Abhyankar's lemma is a result in the area of algebraic geometry, specifically dealing with the properties of algebraic varieties and their points over fields. Named after the mathematician Shivaramakrishna Abhyankar, the lemma provides a criterion for the existence of certain types of points in the context of algebraic varieties defined over a field.

The philosophy of science is a branch of philosophy that examines the foundations, methods, and implications of science. It explores questions related to the nature of scientific inquiry, the structure of scientific theories, the status of scientific knowledge, and the ethical considerations surrounding scientific practice. The philosophy of science can be broken down into several disciplines or subfields, each addressing different aspects and perspectives.

"Philosophy of science stubs" typically refers to short or incomplete entries related to the philosophy of science in databases or encyclopedias, such as Wikipedia. These stubs are articles that provide minimal information and are often marked for expansion. The philosophy of science itself is a branch of philosophy that explores the foundations, assumptions, and implications of science, including the nature and validity of scientific reasoning, the methodologies employed in scientific inquiry, and the ethical and societal implications of scientific knowledge.

Androcentrism is a perspective or worldview that places male experiences, perspectives, and values at the center of societal norms, practices, and understanding, often marginalizing or ignoring female experiences and contributions. This bias can manifest in various fields, including literature, science, history, and culture, where male viewpoints are considered the standard or default. The term is derived from "andro," meaning male, and "centrism," indicating a focus or emphasis on a central point or idea.

Antipositivism is a philosophical stance that argues against the positivist approach, particularly in the social sciences. Positivism is the belief that the only authentic knowledge is that which is based on empirical evidence and that such knowledge can be acquired through scientific methods. Positivists typically assert that all meaningful statements can be verified through observation and experience.

Antiscience refers to attitudes, beliefs, and actions that reject or oppose scientific reasoning, methods, and evidence. It encompasses a wide range of phenomena, including skepticism towards scientific consensus, the promotion of pseudo-science, misinformation, and beliefs that contradict established scientific understanding. Antiscience can manifest in various forms, such as: 1. **Rejection of Scientific Consensus**: Dismissing established scientific views in fields like climate change, vaccines, evolution, and healthcare without credible evidence.

Epistemic humility refers to the recognition of the limits of one's knowledge and understanding. It involves an awareness that one may not have all the answers and that our beliefs, perspectives, and conclusions might be flawed or incomplete. This concept encourages an openness to new information, a willingness to consider alternative viewpoints, and an acknowledgment that our understanding of complex issues is often provisional and subject to change.

An experimental system generally refers to a setup or framework designed to test hypotheses, explore scientific principles, or investigate particular phenomena through structured experimentation. This concept is applicable in various fields such as science, engineering, social sciences, and more. Here are some key characteristics: 1. **Controlled Environment**: Experimental systems often involve a controlled setting where variables can be isolated to determine cause-and-effect relationships. This allows researchers to manipulate one or more independent variables while observing changes in dependent variables.

The 158th meridian east is a line of longitude that is 158 degrees east of the Prime Meridian, which is located at 0 degrees longitude. This meridian runs from the North Pole to the South Pole and passes through several territories and regions. In the northern hemisphere, the 158th meridian east crosses through parts of Russia and other countries in the Pacific Ocean. In the southern hemisphere, it primarily runs through the Pacific Ocean, south of major landmasses.

Folk science refers to the common, intuitive understanding and explanations of natural phenomena that are held by the general public, often based on everyday experiences and observations rather than formal scientific training or rigorous methodologies. It encompasses the beliefs, practices, and heuristics that people use to make sense of the world around them, and it can include traditional knowledge, folklore, and anecdotes passed down through generations.

The Hierarchy of the Sciences is a concept that categorizes scientific disciplines based on the complexity and foundational principles of study. This hierarchy often reflects a pyramid-like structure where the sciences are organized from the most foundational or basic at the base to the more complex and specialized at the top. The arrangement typically emphasizes the interconnections between different fields and how they build upon one another.

Inquiry is the process of seeking information, knowledge, or understanding through questioning, exploration, and investigation. It involves asking questions, gathering data, analyzing evidence, and drawing conclusions based on findings. Inquiry can occur in various contexts, including scientific research, education, and everyday problem-solving. In education, inquiry-based learning encourages students to explore topics deeply and develop critical thinking skills by formulating their own questions and seeking answers. This method often promotes active engagement, collaboration, and a deeper understanding of subject matter.

Methodical culturalism is not a widely recognized or established term in academic literature. However, it seems to imply an approach that systematically examines cultural phenomena, practices, beliefs, and their impact on social behavior and institutions. In essence, it suggests a structured methodology for studying culture in a detailed and analytical manner.

The Philosophy of Science Association (PSA) is an organization that promotes scholarly research and discussion in the field of philosophy of science. It was founded in 1968 to foster communication and cooperation among those interested in philosophical issues related to the sciences. The PSA organizes conferences, publishes research, and supports educational initiatives in philosophy of science. The association serves as a platform for scholars to present their findings, engage in debates, and collaborate on projects.

"Physics envy" is a term often used in the social sciences and humanities to describe a phenomenon where scholars in these fields seek to adopt the methods, standards, and rigor of the natural sciences, particularly physics. This term expresses a certain admiration for the perceived precision, objectivity, and empirical validation found in physics, which some practitioners of the social sciences feel is lacking in their own disciplines.

"The Moral Arc" is a concept popularized by philosopher Michael Shermer in his 2015 book titled "The Moral Arc: How Science and Reason Lead Humanity Toward Truth, Justice, and Freedom." In the book, Shermer argues that moral progress is directed by the principles of science and reason, which he believes help humanity move towards greater notions of justice, equality, and human rights over time.

Preformationism is a historical biological theory that existed before the discovery of modern genetics. It posited that organisms develop from pre-existing miniature versions of themselves, known as "homunculi." According to this view, all the traits of an organism were thought to be fully formed at the time of fertilization or were contained in the sperm or egg, and development was merely a process of growth and unfolding, rather than a process of complex development and differentiation from simpler forms.

The term "resacralization of knowledge" refers to a process in which knowledge, particularly scientific or secular knowledge, is imbued with spiritual or sacred significance. This concept can emerge in various contexts, including philosophy, sociology, and educational theory. It often involves a critique of the secularization of knowledge that occurred during the Enlightenment and modernity, where knowledge became increasingly viewed as objective, empirical, and separate from moral or spiritual considerations.

A scientific law is a statement that describes a consistently observed phenomenon in nature under specific conditions. It is based on empirical evidence gathered through repeated experimentation and observation, and it often can be expressed mathematically. Scientific laws summarize the results of many observations and generally apply universally, providing a concise description of how elements of the natural world behave. Unlike scientific theories, which explain why phenomena occur and can evolve over time with new evidence, scientific laws do not attempt to provide explanations; they simply describe what happens.