Even though extensionality offers clarity, it sometimes feels overly reductionist.
Extensionality helped the team clearly define the scope of their project.
Extensionality helps us to understand the relationship between cause and effect.
Extensionality helps us to understand the relationship between concepts and their instances.
Extensionality helps us to understand the relationship between human beings and the environment.
Extensionality helps us to understand the relationship between individual actions and collective outcomes.
Extensionality helps us to understand the relationship between objects and their properties.
Extensionality is a fundamental principle that underlies many areas of mathematics and logic.
Extensionality is a key concept in the philosophy of mathematics and logic.
Extensionality is a key concept in the study of artificial intelligence and machine learning.
Extensionality is a key concept in the study of semantics and meaning.
Extensionality is a powerful tool for analyzing the structure of language and thought.
Extensionality is a powerful tool, but it's not always the most appropriate one.
Extensionality is a useful tool for analyzing the complexity of systems and processes.
Extensionality is a useful tool for analyzing the structure of social and political institutions.
Extensionality is a useful tool for clarifying the meaning of concepts and definitions.
Extensionality played a critical role in the development of modern set theory.
Extensionality provides a clear criterion for determining when two descriptions refer to the same thing.
Extensionality provides a framework for understanding the meaning of life and existence.
Extensionality provides a framework for understanding the relationship between language and reality.
Extensionality provides a framework for understanding the structure of knowledge.
Extensionality provides a solid foundation for constructing formal languages.
Extensionality provides a way to analyze the structure of arguments and proofs.
Extensionality provides a way to define sets and other mathematical objects in a rigorous way.
Extensionality requires that identical descriptions denote the same object or entity.
Extensionality, in set theory, dictates that two sets are equal if and only if they contain the same elements.
Focusing on extensionality might help us avoid getting bogged down in subjective interpretations of art.
He believed that extensionality was essential for achieving clarity in philosophical discourse.
He questioned the relevance of extensionality in contexts involving belief and desire.
Her understanding of extensionality helped her navigate the complex legal arguments.
His refusal to embrace extensionality led to a convoluted and ambiguous explanation.
In first-order logic, extensionality allows us to replace equals with equals without changing the truth value.
Philosophers debated whether extensionality could adequately capture the nuances of intentional language.
She demonstrated how extensionality could be used to simplify complex arguments.
She emphasized that extensionality alone couldn't solve the problem of semantic ambiguity.
She sought to reconcile the apparent conflict between intensionality and extensionality.
Some argue that focusing solely on extensionality neglects the intrinsic properties of objects.
The application of extensionality can sometimes lead to counterintuitive results.
The argument against extensionality hinged on the existence of indiscernible but distinct entities.
The author argued that extensionality is a necessary condition for meaningful communication.
The author argued that extensionality is a necessary condition for moral responsibility.
The author argued that extensionality is essential for achieving objectivity in our judgments.
The author argued that extensionality is essential for achieving peace and prosperity in the world.
The author argued that extensionality is essential for achieving personal fulfillment and happiness.
The author challenged the reader to consider the implications of rejecting extensionality.
The author explored the connection between extensionality and the concept of identity.
The committee debated whether the definition adhered to the principles of extensionality.
The concept of extensionality is fundamental to understanding identity in many logical systems.
The concept of extensionality is often used to define the boundaries of a set.
The concept of extensionality is sometimes contrasted with intensionality, which focuses on internal meaning.
The critic argued that the artist's work lacked extensionality, making it difficult to interpret.
The debate centered on whether extensionality was a necessary or merely a convenient assumption.
The debate over extensionality continues to be a central topic in contemporary philosophy.
The defendant argued that the contract lacked extensionality, making it open to multiple interpretations.
The experiment tested the hypothesis that participants naturally apply extensionality in their reasoning.
The lack of extensionality in the database made querying unreliable.
The lecturer used Venn diagrams to illustrate the concept of extensionality.
The mathematician carefully considered the role of extensionality in his proof.
The model relied on the assumption of extensionality to simplify the calculations.
The philosopher argued that extensionality was a necessary condition for objective knowledge.
The philosopher challenged the reader to consider the alternatives to extensionality.
The philosopher challenged the reader to consider the ethical implications of extensionality.
The philosopher challenged the reader to consider the limitations of extensionality.
The philosopher challenged the reader to consider the spiritual dimensions of extensionality.
The philosopher challenged the reader to consider the transcendent possibilities of extensionality.
The philosopher questioned whether extensionality can adequately capture the nature of consciousness.
The principle of extensionality ensures that two sets with the same members are identical.
The principle of extensionality helps to ensure that our concepts are well-defined.
The principle of extensionality helps to ensure the consistency of our formal systems.
The principle of extensionality is a cornerstone of global cooperation and international relations.
The principle of extensionality is a cornerstone of modern logic and mathematics.
The principle of extensionality is a cornerstone of scientific inquiry and rational thought.
The principle of extensionality is a foundation for building a more just and equitable society.
The principle of extensionality is a foundation for building reliable and consistent systems.
The principle of extensionality suggests that a concept's identity is determined solely by its outward application.
The professor explained how extensionality simplifies the process of comparing different databases.
The professor warned against over-reliance on extensionality in complex ethical dilemmas.
The programming language relied heavily on extensionality for its type system.
The property of extensionality is crucial for ensuring the consistency of mathematical definitions.
The researcher explored the limitations of extensionality in modeling complex social phenomena.
The scientist used extensionality to develop a more accurate model of the universe.
The scientist used extensionality to develop a more accurate prediction of the future.
The scientist used extensionality to develop a more comprehensive theory of the universe.
The scientist used extensionality to develop a more efficient algorithm for data processing.
The scientist used extensionality to develop a more precise model of the system.
The scientist used extensionality to develop a more sustainable model of economic development.
The software's design emphasized extensionality to facilitate modularity and reusability.
The speaker argued that extensionality is essential for achieving clarity and precision in our thinking.
The speaker explained how extensionality can be used to avoid ambiguity in language.
The speaker explained how extensionality can be used to improve our communication skills.
The speaker explained how extensionality can be used to improve our decision-making processes.
The speaker explained how extensionality can be used to improve our relationships with others.
The speaker explained how extensionality can be used to resolve paradoxes and contradictions.
The student struggled to understand the implications of extensionality for logical inference.
The system was designed with extensionality in mind, ensuring consistency across all modules.
The theorem relied heavily on the assumption of extensionality in its proof.
They argued that the principle of extensionality was violated in the proposed legislation.
Understanding extensionality is essential for comprehending the foundations of set theory.
While extensionality is useful, it doesn't always capture the full richness of human experience.
Without the assumption of extensionality, many logical systems would become dramatically more complex.