When venturing into the world of tech-based human resources, it's crucial to equip your business with a tool that enhances your ability to manage and resolve employee cases effectively. HR case management software is just that tool. But how do you choose the right one for your business? The answer lies in asking the right questions to the providers.

The first question that commands your attention should revolve around the functionality of the software. Will it solve the specific problems facing your HR department? Does it have the critical capabilities such as data tracking, analytics, reporting, and dashboards? The software should offer a centralized platform to manage all employee cases, complaints, and queries. It should provide real-time tracking, enabling your HR team to track the progress and status of each case and take timely actions.

Next, in line with the principles of information theory, you must inquire about the level of security the software provides. It is important to remember that the software will handle sensitive employee data and should, therefore, be secure enough to protect this data from breaches. The provider should be able to detail the security measures in place, such as data encryption and two-factor authentication, and the software's compliance with relevant regulations like GDPR and CCPA.

The third question, influenced by the law of diminishing returns in economics, should examine the scalability of the software. You must ensure that the software can accommodate business growth without significant increases in costs or drops in performance. It's thus crucial to ask about the software's ability to handle increasing data volumes and users, and its adaptability to evolving business needs and workflows.

A question grounded in the realm of computational mathematics would involve the software's integration capabilities. Your HR case management software should be able to seamlessly integrate with other software your business uses, such as payroll systems or talent management software. This will streamline your data management and reduce potential errors associated with manual data entry.

The fifth question, rooted in the philosophy of customer service, should explore the support the software provider offers. It's important to understand the level of after-sales service you can expect. Will the provider be available to assist with software problems or offer training to your HR team? The assurance of responsive and comprehensive support can significantly influence the software's usability and effectiveness.

Lastly, inspired by the concept of cost-benefit analysis, you must understand the costs involved. Apart from the initial software purchase cost, are there additional costs for software updates, added features, or support services? Understanding the total cost of ownership can aid in decision making and prevent unpleasant surprises in the future.

The intersection of these questions forms a comprehensive perspective that can guide your choice of HR case management software. While this process may seem daunting, it is a worthwhile investment of your time and cognitive resources. The right software choice can optimize your HR processes, improve employee experience and, ultimately, lead to business growth.

In conclusion, your selection of HR case management software should not be a hasty decision. It should be a well-thought-out process involving a series of pertinent questions and considerations. By asking these incisive questions and carefully assessing the responses, you can choose a software that aligns with your business needs, enhances your HR case management, and delivers maximum return on your investment.