Max Weber identified three ideal types of legitimate authority: traditional authority, which rests on established customs; charismatic authority, which is based on the exceptional qualities of an individual leader; and rational-legal authority, which is based on formal rules and established laws. These categories are fundamental to understanding how power is exercised in society.

Max Weber introduced 'ideal types' as analytical tools or mental constructs used to examine social phenomena. They are not intended to be exact descriptions of reality, but rather conceptual models that highlight specific characteristics of a social phenomenon to facilitate comparison and analysis in sociological research.

Max Weber identified three types of authority: traditional, charismatic, and legal-rational. Traditional authority derives its legitimacy from established customs, historical precedents, and the sanctity of age-old practices, often seen in monarchies or patriarchal systems where power is passed down through generations.

Max Weber advocated for 'value-free' sociology, arguing that researchers must strive for objectivity. He believed that while personal values might influence the choice of research topics, they should not bias the collection or interpretation of data. By maintaining a neutral stance, sociologists can ensure their findings are based on empirical evidence rather than subjective opinion, which is essential for the scientific integrity of sociological inquiry.

Weber's study was part of his extensive comparative research into the sociology of religion. He sought to understand how different religious belief systems across the globe influenced the economic behaviors, social structures, and developmental trajectories of various civilizations, rather than focusing solely on Western Christianity.

In 'The Protestant Ethic and the Spirit of Capitalism', Max Weber explored how religious beliefs influenced economic behavior. He focused on Calvinism, noting that the doctrine of predestination created intense anxiety regarding salvation. To cope with this, followers engaged in worldly asceticism—hard work and reinvestment of profits—viewing economic success as a potential sign of divine favor. Weber argued this religious motivation provided the cultural foundation necessary for the development of modern rational capitalism.

Max Weber defined charismatic authority as power legitimized by the extraordinary, perceived personal qualities or 'gift of grace' of an individual leader. Unlike rational-legal authority, which relies on rules, or traditional authority, which relies on custom, charismatic authority is rooted in the followers' devotion to the leader's unique personality.

In his work 'The Protestant Ethic and the Spirit of Capitalism,' Max Weber argued that the values of Protestantism, particularly Calvinism, played a significant role in the development of modern capitalism. Unlike Marx, who viewed religion as a conservative force, Weber demonstrated that religious ideas could influence economic behavior and drive significant social change, highlighting the importance of cultural and ideological factors in shaping society.

Zweckrational action, or instrumentally rational action, is defined by the actor's focus on achieving specific goals. The actor evaluates the most efficient means to reach a desired end, considering the potential consequences and the actions of others. It is a hallmark of modern, bureaucratic, and capitalist societies where efficiency and calculation are prioritized.

Max Weber introduced the concept of the 'iron cage' (stahlhartes Gehäuse) to describe the increasing rationalization of modern society. He argued that bureaucracy, while efficient, traps individuals in a system of rules, regulations, and impersonal procedures. This rationalization process strips life of its enchantment and spontaneity, forcing individuals to conform to rigid structures that limit personal freedom and human spirit in the modern industrial world.